The Kernel of the Gysin homomorphism for positive characteristic

2024/11/18 by Schoemann, Claudia, Werner, Skylar · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.11417

Abstract

Let k be an uncountable algebraically closed field of positive characteristic and let S be a connected smooth projective surface over k. We extend the theorem on the Gysin kernel from [28, Theorem 5.1] to also be true over k, where it was proved over ℂ. This is done by showing that almost all results still hold true over k via the same argument or by using étale base arguments and then use a lift with the Comparison theorems [22, Theorems 21.1 & 20.5] as needed.

Cited by

• The kernel of the Gysin homomorphism for smooth projective curves

Related

• The kernel of the Gysin homomorphism for smooth projective curves
• The variation of the Gysin kernel in a family
• On Zariski's theorem in positive characteristic
• Gysin Restriction of Topological and Hodge-Theoretic Characteristic Classes for Singular Spaces
• Derived equivalences of canonical covers of hyperelliptic and Enriques\n surfaces in positive characteristic