2024
Preprint 89/2024
Takamichi Sano, Otmar Venjakob
On Lubin-Tate regulator maps and Kato’s explicit reciprocity law
Preprint 88/2024
Gautier Ponsinet
Bloch-Kato groups over perfectoid fields and Galois theory of p-adic periods
Preprint 87/2024
Manuel Blickle, Daniel Fink, Alexandria Wheeler, Wenliang Zhang
On the injective dimension of unit Cartier and Frobenius modules
Preprint 86/2024
Andreas Gross, Leo Herr, David Holmes, Pim Spelier, Jesse Vogel
The log Grothendieck ring of varieties
Preprint 85/2024
Gautier Ponsinet
Bloch-Kato groups over perfectoid fields and Galois theory of p-adic periods
Preprint 84/2024
Preprint 83/2024
Preprint 82/2024
Preprint 81/2024
Preprint 80/2024
Preprint 79/2024
Preprint 78/2024
Preprint 77/2024
Piotr Achinger, Katharina Hübner, Marcin Lara, Jakob Stix
Logarithmic geometry beyond fs
Preprint 76/2024
Chenxin Huang, Zhiyuan Li, Manuel K.-H. Müller, Zelin Ye
The Picard group of the Baily-Borel compactification of the moduli space of polarized K3 surfaces
Preprint 75/2024
Stefan Rettenmayr, Annette Werner
Combinatorial Cremona automorphisms and Coxeter arrangement matroids
Preprint 74/2024
Preprint 73/2024
Rızacan Çiloğlu
Perverse sheaves on twisted affine flag varieties and Langlands duality
Preprint 72/2024
Preprint 71/2024
Magnus Carlson, Jakob Stix
The étale topos reconstructs varieties over sub-p-adic fields
Preprint 70/2024
Alireza Shavali
On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms
Preprint 69/2024
Preprint 68/2024
Andrei Bud, Dawei Chen, Martin Möller
The Kodaira dimension of even spin strata of abelian differentials
Preprint 67/2024
Preprint 66/2024
Cedric Luger
A mixed fibration theorem for Hilbert irreducibility on non-proper varieties
Preprint 65/2024
Cedric Luger
Hilbert irreducibility for integral points on punctured linear algebraic groups
Preprint 64/2024
Preprint 63/2024
Andrés Jaramillo Puentes, Sabrina Pauli
Quadratically enriched tropical intersections
Preprint 62/2024
Michael Groechenig, Dimitri Wyss, Paul Ziegler
Twisted points of quotient stacks, integration and BPS-invariants
Preprint 61/2024
Morten Lüders
On analogues of the Kato conjectures and proper base change for 1-cycles on rationally connected varieties
Preprint 60/2024
Preprint 59/2024
Preprint 58/2024
Preprint 57/2024
Federico Binda, Tommy Lundemo, Alberto Merici, Doosung Park
Logarithmic TC via the Infinite Root Stack and the Beilinson Fiber Square
Preprint 56/2024
Preprint 55/2024
Preprint 54/2024
Thomas Driscoll-Spittler
Vertex operator expressions for Lie algebras of physical states
Preprint 53/2024
Maximilian C. E. Hofmann, Martin Ulirsch
An Abel-Jacobi theorem for metrized complexes of Riemann surfaces
Preprint 52/2024
Amine Koubaa
The Cartier operator on differentials of discretely ringed adic spaces and purity in the tame cohomology
Preprint 51/2024
Preprint 50/2024
Preprint 49/2024
Georg Oberdieck
Towards refined curve counting on the Enriques surface I: K-theoretic refinements
Preprint 48/2024
Oğuz Gezmiş, Changningphaabi Namoijam
On the transcendence of special values of Goss L-functions attached to Drinfeld modules
Preprint 47/2024
Magnus Carlson, Peter J. Haine, Sebastian Wolf
Reconstruction of schemes from their étale topoi
Preprint 46/2024
Preprint 45/2024
Preprint 44/2024
Christian Dahlhausen, Can Yaylali
Towards A¹-homotopy theory of rigid analytic spaces
Preprint 43/2024
Jeffrey Giansiracusa, Felipe Rincón, Victoria Schleis, Martin Ulirsch
Log-concavity for independent sets of valuated matroids
Preprint 42/2024
Preprint 41/2024
Emilio Franco, Robert Hanson, Johannes Horn, André Oliveira
Fourier-Mukai transforms and normalization of nodal curves
Preprint 40/2024
Shane Kelly, Shuji Saito, Georg Tamme
On pro-cdh descent on derived schemes
Preprint 39/2024
Kevin Kuehn, Arne Kuhrs
The Signed Goldman-Iwahori Space and Real Tropical Linear Spaces
Preprint 38/2024
Jan Hendrik Bruinier, Riccardo Zuffetti
Lefschetz decompositions of Kudla-Millson theta functions
Preprint 37/2024
Moritz Kerz, Georg Tamme
A remark on crystalline cohomology
Preprint 36/2024
Ben Heuer
G-torsors on perfectoid spaces
Preprint 35/2024
Tom Bachmann
Strongly A1-invariant sheaves (after F. Morel)
Preprint 34/2024
On P1-stabilization in unstable motivic homotopy theory
Preprint 33/2024
Katharina Hübner, Michael Temkin
Adic curves: stable reduction, skeletons and metric structure
Preprint 32/2024
Yiu Man Wong, Angelina Zheng
Rational cohomology of M4,1
Preprint 31/2024
Jiaming Chen, Alex Küronya, Yusuf Mustopa, Jakob Stix
Convex Fujita numbers: projective bundles
Preprint 30/2024
Preprint 29/2024
Ilia Gaiur, Vladimir Rubtsov, Duco van Straten
Product formulas for the Higher Bessel functions
Preprint 28/2024
Preprint 27/2024
Andrei Bud, Richard Haburcak
Maximal Brill-Noether loci via degenerations and double covers
Preprint 26/2024
Andrés Jaramillo Puentes, Sabrina Pauli
A Quadratically Enriched Correspondence Theorem
Preprint 25/2024
Gebhard Böckle, Chun-Yin Hui
v1: Irreducibility of three dimensional automorphic Galois representations over totally real fields
v2: Weak abelian direct summands and irreducibility of Galois representations
Preprint 24/2024
Preprint 23/2024
Jayadev Athreya, Jean Lagacé, Martin Möller, Martin Raum
Spectral decomposition and Siegel-Veech transforms for strata: The case of marked tori
Preprint 22/2024
Preprint 21/2024
Jan Hendrik Bruinier, Eugenia Rosu, Shaul Zemel
Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties
Preprint 20/2024
Milan Malcic, Rustam Steingart, Otmar Venjakob, Max Witzelsperger
ε-isomorphisms for rank one (φ,Γ)-modules over Lubin-Tate Robba rings
Preprint 19/2024
Pramod N. Achar, João Lourenço, Timo Richarz, Simon Riche
A modular ramified geometric Satake equivalence
Preprint 18/2024
Morten Lüders
The Gersten conjecture for p-adic étale Tate twists and the p-adic cycle class map
Preprint 17/2024
Robert Cass, Thibaud van den Hove, Jakob Scholbach
Central motives on parahoric flag varieties
Preprint 16/2024
Yassine El Maazouz, Paul Alexander Helminck, Felix Röhrle, Pedro Souza, Claudia He Yun
On the topology of the moduli of tropical unramified p-covers
Preprint 15/2024
Preprint 14/2024
Christian Dahlhausen
Regularity of semi-valuation rings and homotopy invariance of algebraic K-theory
Preprint 13/2024
Preprint 12/2024
Preprint 11/2024
Preprint 10/2024
Preprint 09/2024
Preprint 08/2024
Jan Hendrik Bruinier, Martin Raum
Formal Siegel modular forms for arithmetic subgroups
Preprint 07/2024
Preprint 06/2024
Preprint 05/2024
Preprint 04/2024
Preprint 03/2024
Thibaud Lemanissier, Jérôme Poineau
Espaces de Berkovich globaux : catégorie, topologie, cohomologie
Preprint 02/2024
Preprint 01/2024
2023
Preprint 63/2023
Markus Land, Akhil Mathew, Lennart Meier, Georg Tamme
Purity in chromatically localized algebraic K-theory
Preprint 62/2023
Andreas Gross, Inder Kaur, Martin Ulirsch, Annette Werner
Semi-homogeneous vector bundles on abelian varieties: moduli spaces and their tropicalization
Preprint 61/2023
Preprint 60/2023
Preprint 59/2023
Preprint 58/2023
Johannes Anschütz, Ben Heuer, Arthur-César Le Bras
The small p-adic Simpson correspondence in terms of moduli spaces
Preprint 57/2023
Thomas Driscoll-Spittler, Nils R. Scheithauer, Janik Wilhelm
Reflective modular varieties and their cusps
Preprint 56/2023
Anna Barbieri, Martin Möller, Jeonghoon So
A smooth compactification of spaces of stability conditions: the case of the An-quiver
Preprint 55/2023
Manuel K.-H. Müller
Modular forms for the Weil representation induced from isotropic subgroups
Preprint 54/2023
Ingmar Metzler, Riccardo Zuffetti
Injectivity of the genus 1 Kudla-Millson lift on locally symmetric spaces
Preprint 53/2023
Alheydis Geiger, Kevin Kühn, Raluca Vlad
Graph curve matroids
Preprint 52/2023
Jérôme Poineau
Cohomologie des espaces de modules de courbes via la géométrie tropicale et les complexes de graphes [d’après M. Chan, S. Galatius et S. Payne]
Preprint 51/2023
Otmar Venjakob
Explicit Reciprocity Laws in Iwasawa Theory — A survey with some focus on the Lubin-Tate setting
Preprint 50/2023
Rustam Steingart
Comparisons of Lie algebra cohomologies of (φ, Γ)-modules
Preprint 49/2023
Torsten Wedhorn
Extension and lifting of G-bundles on stacks
Preprint 48/2023
Jiaming Chen, Alex Küronya, Yusuf Mustopa, Jakob Stix
Convex Fujita numbers and the Kodaira-Enriques classification of surfaces
Preprint 47/2023
Matti Würthen, Heer Zhao
Log prismatic Diedonné theory for log p-divisible groups over OK
Preprint 46/2023
Johannes Horn, Johannes Schwab
Visible Lagrangians for Hitchin systems and pillowcase covers
Preprint 45/2023
Piotr Achinger, Jakob Stix
Topological rigidity of maps in positive characteristic and anabelian geometry
Preprint 44/2023
Preprint 43/2023
Preprint 42/2023
Paulina Fust, Judith Ludwig, Alice Pozzi, Mafalda Santos, Hanneke, Wiersema
Real quadratic singular moduli and p-adic families of modular forms
Preprint 41/2023
On the Rapoport-Zink space for GU(2,4) over a ramified prime
Preprint 40/2023
Yen-Tsung Chen, Oğuz Gezmiş
Nearly holomorphic Drinfeld modular forms and their special values at CM points
Preprint 39/2023
Ben Heuer, Annette Werner, Mingjia Zhang
p-adic Simpson correspondences for principal bundles in abelian setttings
Preprint 38/2023
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag K. Singh, Wenliang Zhang
Applications of perverse sheaves in commutative algebra
Preprint 37/2023
Preprint 36/2023
Jan Hendrik Bruinier, Benjamin Howard
Arithmetic volumes of unitary Shimura varieties
Preprint 35/2023
Andreas Gross, Trevor Gunn
Factoring multivalued polynomials over hyperfields and the multivariable Descartes’ problem
Preprint 34/2023
Gabriele Bogo, Yingkun Li, Markus Schwagenscheidt
Laurent expansions of meromorphic modular forms
Preprint 33/2023
Luca Battistella, Sebastian Bozlee
Hyperelliptic Gorenstein curves and logarithmic differentials
Preprint 32/2023
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag K. Singh, Wenliang Zhang
Frobenius on the cohomology of thickenings
Preprint 31/2023
Preprint 30/2023
Preprint 29/2023
Can Yaylali
Motivic homotopy theory of the classifying stack of finite groups of Lie type
Preprint 28/2023
Preprint 27/2023
Mark van Hoeij, Duco van Straten, Wadim Zudilin
A hyperelliptic saga on a generating function of the squares of Legendre polynomials
Preprint 26/2023
Preprint 25/2023
L. Alexander Betts, Theresa Kumpitsch, Martin Lüdtke
Chabauty-Kim and the section conjecture for locally geometric sections
Preprint 24/2023
Preprint 23/2023
Matti Würthen
Divided prismatic Frobenius crystals of small height and the category MF
Preprint 22/2023
Martin Möller, Scott Mullane
Teichmüller curves in hyperelliptic components of meromorphic strata
Preprint 21/2023
Preprint 20/2023
Preprint 19/2023
Luca Battistella, Kevin Kühn, Arne Kuhrs, Martin Ulirsch, Alejandro Vargas
Buildings, valuated matroids, and tropical linear spaces
Preprint 18/2023
Preprint 17/2023
Peter J. Haine, Tim Holzschuh, Sebastian Wolf
Nonabelian basechange theorems & étale homotopy theory
Preprint 16/2023
Johannes J. Buck
Elliptic Eisenstein series associated to ideals in real quadratic number fields
Preprint 15/2023
Matteo Costantini, Martin Möller and Johannes Schwab
Chern classes of linear submanifolds with application to spaces of k-differentials and ball quotients
Preprint 14/2023
Marcin Lara, Vasudevan Srinivas and Jakob Stix
Fundamental groups of proper varieties are finitely presented
Preprint 13/2023
Valerie Berthé, Karma Dajani, Charlene Kalle, Ela Krawczyk, Hamide Kuru, Andrea Thevis
Rational approximations, multidimensional continued fractions and lattice reduction
Preprint 12/2023
Preprint 11/2023
Claudia Alfes-Neumann, Jens Funke, Michael Mertens, Eugenia Rosu
On Jacobi-Weierstrass mock modular forms
Preprint 10/2023
Johannes Anschütz, Ben Heuer, Arthur-César Le Bras
Hodge-Tate stacks and non-abelian p-adic Hodge theory of v-perfect complexes on rigid spaces
Preprint 09/2023
Johannes Buck
Dirichlet series associated to representation numbers of ideals in real quadratic number fields
Preprint 08/2023
Moritz Kerz, Shuji Saito, Georg Tamme
K-theory of non-archimedean rings II
Preprint 07/2023
Peter Schneider, Otmar Venjakob
Comparing categories of Lubin-Tate (φL, ΓL)-modules
Preprint 06/2023
Peter Schneider, Otmar Venjakob
Reciprocity laws for (φL, ΓL)-modules over Lubin-Tate extensions
Preprint 05/2023
Marius Leonhardt, Martin Lüdtke, J. Steffen Müller
Linear and quadratic Chabauty for affine hyperbolic curves
Preprint 04/2023
Konstantin Jakob, Zhiwei Yun
A Deligne-Simpson problem for irregular G-connections over P1
Preprint 03/2023
Jiaming Chen, Alex Küronya, Yusuf Mustopa, Jakob Stix
Convex Fujita numbers and the fundamental group
Preprint 02/2023
Jérôme Poineau
Dynamique analytique sur Z. II: Ecart uniforme entre Lattes et conjecture de Bogomolov-Fu-Tschinkel
Preprint 01/2023
2022
Preprint 50/2022
Johannes Anschütz, Ben Heuer, Arthur-César Le Bras
v-vector bundles on p-adic fields and Sen theory via the Hodge-Tate stack
Preprint 49/2022
Preprint 48/2022
Preprint 47/2022
Pramod N. Achar, João Lourenço, Timo Richarz, Simon Riche
Fixed points under pinning-preserving automorphisms of reductive group schemes
Preprint 46/2022
Kieu Hieu Nguyen, Eva Viehmann
Harder-Narasimhan stratiffication of the Bdr+-Grassmannian
Preprint 45/2022
Anna Barbieri, Martin Möller, Yu Qiu, Jeonghoon So
Quadratic differentials as stability conditions: collapsing subsurfaces
Preprint 44/2022
Dawei Chen, Samuel Grushevsky, David Holmes, Martin Möller, Johannes Schmitt
A tale of two moduli spaces: logarithmic and multi-scale differentials
Preprint 43/2022
Preprint 42/2022
Preprint 41/2022
Preprint 40/2022
Yiu Man Wong
An algorithm to compute fundamental classes of spin components of strata of differentials
Preprint 39/2022
Preprint 38/2022
Robert Cass, Thibaud van den Hove, Jakob Scholbach
The geometric Satake equivalence for integral motives
Preprint 37/2022
Marius Leonhardt
Plectic Galois action on CM points and connected components of Hilbert modular varieties
Preprint 36/2022
Stephan Ehlen, Yingkun Li, Markus Schwagenscheidt
Harmonic Maass forms associated with CM newforms
Preprint 35/2022
Thomas J. Haines, João Lourenço, Timo Richarz
On the normality of Schubert varieties: remaining cases in positive characteristic
Preprint 34/2022
Preprint 33/2022
Preprint 32/2022
Preprint 31/2022
Claudia Alfes-Neumann, Jan Hendrik Bruinier, Markus Schwagenscheidt
Harmonic weak Maass forms and periods II
Preprint 30/2022
Klaus Altmann, Christian Haase, Alex Küronya, Karin Schaller, Lena Walter
v1: NObodies are perfect, their semigroups are not
v2: On the finite generation of valuation semigroups of toric surfaces
Preprint 29/2022
Peter J. Haine, Tim Holzschuh, Sebastian Wolf
The fundamental fiber sequence in étale homotopy theory
Preprint 28/2022
Najmuddin Fakhruddin, Thomas Haines, João Lourenço, Timo Richarz
Singularities of local models
Preprint 27/2022
Preprint 26/2022
Preprint 25/2022
Patrick Bieker
Integral models of moduli spaces of shtukas with deep Bruhat-Tits level structures
Preprint 24/2022
Manuel K.-H. Müller, Nils R. Scheithauer
The invariants of the Weil representation of SL_2(Z)
Preprint 23/2022
Preprint 22/2022
Preprint 21/2022
Preprint 20/2022
Preprint 19/2022
Preprint 18/2022
Gabriele Bogo, Younes Nikdelan
Ramanujan systems of Rankin-Cohen type and hyperbolic triangles
Preprint 17/2022
Preprint 16/2022
Andreas Gross, Martin Ulirsch, Dmitry Zakharov
Principal bundles on metric graphs: the GLn case
Preprint 15/2022
Gebhard Böckle, Ashwin Iyengar, Vytautas Paškūnas
Zariski density of crystalline points
Preprint 14/2022
Preprint 13/2022
Preprint 12/2022
Gebhard Böckle, Tony Feng, Michael Harris, Chandrashekhar Khare, Jack A. Thorne
Cyclic base change of cuspidal automorphic representations over function fields
Preprint 11/2022
Ananyo Dan, Inder Kaur
Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve
Preprint 10/2022
Preprint 09/2022
Preprint 08/2022
Jan H. Bruinier, Yingkun Li, Tonghai Yang
Deformations of theta integrals and a conjecture of Gross-Zagier
Preprint 07/2022
Dawei Chen, Matteo Costantini, Martin Möller
On the Kodaira dimension of moduli spaces of Abelian differentials
Preprint 06/2022
Thibaud van den Hove
Quasi-isogeny groups of supersingular abelian surfaces via pro-étale fundamental groups
Preprint 05/2022
Alex Künronya, Yusuff Mustopa
Effective global generation of on varieties with numerically trivial canonical class
Preprint 04/2022
Riccardo Zuffetti
Cones of special cycles of codimension 2 on orthogonal Shimura varieties
Preprint 03/2022
Jérôme Poineau
Dynamique analytique sur Z. I: Mesures d’équilibre sur une droite projective relative
Preprint 02/2022
Johannes Horn, Martin Möller
Compactifying the rank two Hitchin system via spectral data on semistable curves
Preprint 01/2022
Johannes Anschütz, Ian Gleason, João Lourenço, Timo Richarz
On the p-adic theory of local models
2021
Preprint 21/2021
Tommaso Centeleghe, Jakob Stix
Categories of abelian varieties over finite fields II: Abelian varieties over Fq and Morita equivalence
Preprint 20/2021
Gabriele Bogo
Modular forms, deformation of punctured spheres, and extensions of symmetric tensor representations
Preprint 19/2021
Preprint 17/2021
Sven Möller, Nils R. Scheithauer
A geometric classification of the holomorphic vertex operator algebras of central charge 24
Preprint 16/2021
Preprint 15/2021
Paul Kiefer
Orthogonal Eisenstein Series at Harmonic Points and Modular Forms of Singular Weight
Preprint 14/2021
Preprint 13/2021
Preprint 12/2021
Preprint 10/2021
Preprint 09/2021
Gebhard Böckle, Chandrashekhar B. Khare, Jeffrey Manning
Wiles defect of Hecke algebras via local-global argument
Preprint 08/2021
Patrick Bieker
Invariants for the Weil representation and modular units for orthogonal groups of signature (2,2)
Preprint 07/2021
Margarida Melo, Samouil Molcho, Martin Ulirsch, Filippo Viviani
Tropicalization of the universal Jacobian
Preprint 06/2021
Ben Heuer, Lucas Mann, Annette Werner
The p-adic Corlette–Simpson correspondence for abeloids
Preprint 05/2021
Preprint 04/2021
Gebhard Böckle, Sara Arias-de-Reyna
Deformation rings and images of Galois representations
Preprint 03/2021
Preprint 02/2021
Alex J. Best, L. Alexander Betts, Theresa Kumpitsch, Martin Lüdtke, Angus W. McAndrew, Lie Qian, Elie Studnia, Yujie Xu
Refined Selmer equations for the thrice-punctured line in depth two
Preprint 01/2021
Hélène Esnault, Vasudevan Srinivas and Jakob Stix
An obstruction to lifting to characteristic 0