On the generic vanishing theorem of Cartier modules

Abstract

We generalize the Generic Vanishing theorem by Hacon and Patakfalvi in the spirit of Pareschi and Popa. We give several examples illustrating the pathologies appearing in the positive characteristic setting.

17 pages. Comments are welcome

References in corpus (1)

• Regularity on abelian varieties III: relationship with Generic Vanishing and applications

Cited by in corpus (2)

• On the characterization of abelian varieties in characteristic $p>0$
• Irreducible Theta Divisors of PPAV's are Strongly F-regular