Calabi-Yau Threefolds and Moduli of Abelian Surfaces I

2000/01/14 by Mark Gross, Sorin Popescu, Gross, Mark +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.AG

paper · pdf · doi:10.48550/arxiv.math/0001089

56 pages, 2 figures, plain TeX, uses diagrams.tex and epsf.tex

arxiv created 2000/01/14 · arxiv updated 2009/11/30

Abstract

We describe birational models and decide the rationality/unirationality of moduli spaces AA_d (and AA^lev_d) 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.

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• Calabi-Yau Three-folds and Moduli of Abelian Surfaces II

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