Back to Algebraic Geometry Seminar: Spring 2020
Algebraic Geometry Seminar
Date: Tuesday, Feb 25, 2020
Time: 3:30PM - 4:30PM
Location: LCB 222
Kenta Sato
RIKEN
Title |
Akizuki-Nakano vanishing on globally F-split 3-folds and its application |
Abstract |
By Raynaud’s result, Akizuki-Nakano vanishing theorem holds on a smooth globally F-split variety if the characteristic is larger than or equal to the dimension. However, very little is known for singular varieties. In this talk, we first show a weak form of the Akizuki-Nakano vanishing theorem on (possibly singular) globally F-split 3-folds. As application, we obtain results on deformations for globally F-split Fano 3-folds. We also apply it to prove the Kodaira vanishing for thickenings of locally complete intersection globally F-regular 3-folds, which is a positive characteristic analogue of a result by Bhatt-Blickle-Lyubeznik-Singh-Zhang. This talk is based on joint work with Shunsuke Takagi. |
Algebraic Geometry