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Characterization of products of theta divisors
Stockholm University, Faculty of Science, Department of Mathematics. (Algebra and geometry)ORCID iD: 0000-0003-3781-4895
2014 (English)In: Compositio Mathematica, ISSN 0010-437X, E-ISSN 1570-5846, Vol. 150, p. 1384-1412Article in journal (Refereed) Published
Place, publisher, year, edition, pages
2014. Vol. 150, p. 1384-1412
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Algebra and Logic
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URN: urn:nbn:se:su:diva-167047OAI: oai:DiVA.org:su-167047DiVA, id: diva2:1296159
Note

W

e study products of irreducible theta divisors from two points of view. On the onehand, we characterize them as normal subvarieties of abelian varieties such that adesingularization has holomorphic Euler characteristic 1. On the other hand, we identifythem up to birational equivalence among all varieties of maximal Albanese dimension.We also describe the structure of varieties X of maximal Albanese dimension, withholomorphic Euler characteristic 1 and irregularity 2 dim X −1

Available from: 2019-03-14 Created: 2019-03-14 Last updated: 2019-03-14Bibliographically approved

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