Generic vanishing and minimal cohomology classes on abelian fivefolds

Sebastian Casalaina-Martin; Mihnea Popa; Stefan Schreieder

doi:10.1090/jag/691

Generic vanishing and minimal cohomology classes on abelian fivefolds

Sebastian Casalaina-Martin, Mihnea Popa, Stefan Schreieder

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We classify GV-subschemes of five-dimensional ppavs, proving the main conjecture in a work by Pareschi and the second author in this case. This result is implied by a more general statement about subvarieties of minimal cohomology class whose sum is a theta divisor.

Original language	English (US)
Pages (from-to)	553-581
Number of pages	29
Journal	Journal of Algebraic Geometry
Volume	27
Issue number	3
DOIs	https://doi.org/10.1090/jag/691
State	Published - 2018

Funding

Received March 1, 2016, and, in revised form, July 3, 2016. The first author was partially supported by Simons Foundation Collaboration Grant for Mathematicians (317572). The second author was partially supported by the NSF grant DMS-1405516 and by a Simons Fellowship.

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1090/jag/691

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abstract = "We classify GV-subschemes of five-dimensional ppavs, proving the main conjecture in a work by Pareschi and the second author in this case. This result is implied by a more general statement about subvarieties of minimal cohomology class whose sum is a theta divisor.",

author = "Sebastian Casalaina-Martin and Mihnea Popa and Stefan Schreieder",

note = "Funding Information: Received March 1, 2016, and, in revised form, July 3, 2016. The first author was partially supported by Simons Foundation Collaboration Grant for Mathematicians (317572). The second author was partially supported by the NSF grant DMS-1405516 and by a Simons Fellowship. Publisher Copyright: {\textcopyright} 2018 University Press, Inc.",

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AU - Popa, Mihnea

AU - Schreieder, Stefan

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PY - 2018

Y1 - 2018

N2 - We classify GV-subschemes of five-dimensional ppavs, proving the main conjecture in a work by Pareschi and the second author in this case. This result is implied by a more general statement about subvarieties of minimal cohomology class whose sum is a theta divisor.

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Generic vanishing and minimal cohomology classes on abelian fivefolds

Abstract

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ASJC Scopus subject areas

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