Janine Letz

A surjective map between commutative noetherian local rings (R, m) → S is exceptional complete intersection (eci) if its kernel is generated by a regular sequence that is part of a minimal generating set of m. I present two characterizations of eci maps: First, a map is eci if and only if the truncated Atiyah class vanishes at the residue field. This establishes a second characterization in terms of the lattices of thick subcategories of complexes of finite length homology. This is joint work with Srikanth Iyengar, Jian Liu and Josh Pollitz.