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Calabi–Yau threefolds and moduli of abelian surfaces I
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Gross, M. W. and Popescu, Sorin (2001) Calabi–Yau threefolds and moduli of abelian surfaces I. Compositio Mathematica, Vol.12 (No.2). pp. 169-228. doi:10.1023/A:1012076503121 ISSN 0010-437X.
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Official URL: http://dx.doi.org/10.1023/A:1012076503121
Abstract
We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d. The projective lines identified in the rational/unirational moduli spaces correspond to pencils of Abelian surfaces traced on nodal threefolds living naturally in the corresponding ambient projective spaces, and whose small resolutions are new Calabi–Yau threefolds with Euler characteristic zero.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Calabi-Yau manifolds, Abelian varieties, Moduli theory, Manifolds (Mathematics), Functions of several complex variables | ||||
Journal or Publication Title: | Compositio Mathematica | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0010-437X | ||||
Official Date: | June 2001 | ||||
Dates: |
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Volume: | Vol.12 | ||||
Number: | No.2 | ||||
Page Range: | pp. 169-228 | ||||
DOI: | 10.1023/A:1012076503121 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | National Science Foundation (U.S.) (NSF), Mathematical Sciences Research Institute (Berkeley, Calif.) (MSRI) | ||||
Grant number: | DMS-9700761 (NSF), DMS-9610205 (NSF) |
Data sourced from Thomson Reuters' Web of Knowledge
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