Back to Algebraic Geometry Seminar: Fall 2023
Algebraic Geometry Seminar
Date: Tuesday, Nov 7, 2023
Time: 3:30PM - 4:30PM
Location: LCB 323
C. Eric Overton-Walker
University of Arkansas
Title |
Cotangent complexes of derived jet and arc spaces |
Abstract |
Motivated by studying the birational geometry of the jet and arc schemes of a scheme X, de Fernex and Docampo (2020) described the cotangent sheaf of the jets and arcs in terms of the cotangent sheaf of X. Our work (joint with Roi Docampo and Lance Edward Miller) asks a subsequent question: how may one describe the cotangent complexes? To produce an analogous version of their theorem, one must produce a derived/animated version of the jets and arcs. We define such a construction, discuss properties, and then describe the animated version of their theorem and its consequences. |
Algebraic Geometry