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arXiv · 1602.06231

Generic vanishing and minimal cohomology classes on abelian fivefolds

Sebastian Casalaina-Martin·Mihnea Popa·Stefan Schreieder
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Abstract

We classify GV-subschemes of five-dimensional ppavs, showing that they exist only on Jacobians of curves and intermediate Jacobians of cubic threefolds, and confirming a conjecture of Pareschi--Popa in this case. The result is implied by a more general statement about subvarieties of minimal cohomology class whose sum is a theta divisor.

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Sebastian Casalaina-Martin, Mihnea Popa, Stefan Schreieder. 2016-02-19. Generic vanishing and minimal cohomology classes on abelian fivefolds. https://doi.org/10.1090/jag/691

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