Algebraic Geometry Seminar
Jefferson Baudin
EPFL
A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
Abstract: A useful vanishing theorem for understanding characteristic zero singularities is Grauert-Riemenschneider vanishing, which asserts that if f: Y -> X is a projective birational morphism and Y is smooth, then higher pushfowards of \omega_Y vanish. A remarkable consequence of this result is that characteristic zero klt singularities are rational. As one could expect, this vanishing theorem fails in positive characteristic. In this talk, we will explain how to prove a Witt vector version of Grauert-Riemenchneider vanishing, and consequences on the Witt-rationality of certain singularities in positive characteristic.
Monday October 20, 2025 at 3:00 PM in 636 SEO