Generic Vanishing and Minimal Cohomology Classes on Abelian Varieties
نویسندگان
چکیده
This paper is concerned with a relationship between the existence of subvarieties of principally polarized abelian varieties (ppav’s) having minimal cohomology class and the (generic) vanishing of certain sheaf cohomology, based on the Generic Vanishing criterion studied in [PP3]. This is in analogy with the well-known equivalence between a subvariety in projective space being of minimal degree and its ideal sheaf being Castelnuovo-Mumford 2-regular (cf. e.g. [EG]). We state the following conjecture.
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