Generic vanishing in characteristic p>0 and the geometry of theta divisors
Christopher D. Hacon, Zsolt Patakfalvi
TL;DR
This paper strengthens the generic vanishing theorem in characteristic p>0, demonstrating that irreducible theta divisors are strongly F-regular and exploring properties of pluri-theta divisors.
Contribution
It provides a stronger generic vanishing result in characteristic p>0 and establishes strong F-regularity of irreducible theta divisors.
Findings
Irreducible theta divisors are strongly F-regular.
Enhanced generic vanishing theorem in characteristic p>0.
Results on properties of pluri-theta divisors.
Abstract
In this paper we prove a strengthening of the generic vanishing result in characteristic given in [HP16]. As a consequence of this result, we show that irreducible divisors are strongly F-regular and we prove a related result for pluri-theta divisors.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models