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arXiv · 2609.11377

Generic vanishing conjecture for divisors

Fanjun Meng
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Abstract

Generic vanishing conjecture proposed by Pareschi and Popa is about the relationship between the existence of subvarieties of codimension $>1$ of principally polarized abelian varieties representing minimal cohomology class and the positivity of their ideal sheaves twisted by the principal polarization. Inspired by their formulation, we prove a codimension $1$ analog of generic vanishing conjecture.

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Fanjun Meng. 2026-09-10. Generic vanishing conjecture for divisors. https://arxiv.org/abs/2609.11377

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