Generic vanishing theory in positive characteristic
Year: 2026
Type: article
Abstract: We simplify and improve the main fundamental theorems of positive characteristic generic vanishing theory. As a quick corollary of the theory, we prove that a normal proper variety X of maximal Albanese dimension satisfies H^{0}(X, \omega_{X}) \neq 0 . If \operatorname{Alb}(X) is in addition ordinary, then S^{0}(X, \omega_{X}) \neq 0 .
Source: L’Enseignement Mathématique
DOI: 10.4171/lem/1106
Author: Jefferson Baudin
Institution: École Polytechnique Fédérale de Lausanne
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416888430
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