Gross, M. W. (Mark W.), 1965- and Popescu, Sorin, 1963-. (2001) The moduli space of (111)-polarized abelian surfaces is unirational. Compositio Mathematica, Vol.12 (No.1). pp. 1-24. ISSN 0010-437X

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Abstract

We prove that the moduli space $\cal A$11lev of <$>(1,11)-polarized Abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface in P4. Therefore, $\cal A$11lev is unirational but not rational, and there are no Γ11-cusp forms of weight 3. The same methods also provide an easy proof of the rationality of $\cal A$9lev.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Abelian varieties, Hypersurfaces, Moduli theory, Functions of several complex variables, Geometry, Algebraic
Journal or Publication Title:	Compositio Mathematica
Publisher:	Cambridge University Press
ISSN:	0010-437X
Date:	March 2001
Volume:	Vol.12
Number:	No.1
Page Range:	pp. 1-24
Identification Number:	10.1023/A:1017518027822
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/817

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