Algebraic and Arithmetic Geometry Seminar

Variation of stable birational type and bounds for complete intersections

by Johannes Nicaise (KU Leuven and Imperial College London)

Europe/Rome
Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica

Description
This talk is based on joint work with John Christian Ottem. I will explain a generalization of results by Shinder on variation of stable birational types in degenerating families, and how this can be used to extend Schreieder's non-stable rationality bounds from hypersurfaces to complete intersections in characteristic zero. This technique yields new results already for complete intersections of quadrics.