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

2009/04/21 by Mark Gross, Sorin Popescu, Gross, Mark +1
Mathematics · #14J32 #14K10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J32 #msc:14K10

paper · pdf · doi:10.48550/arxiv.0904.3354

29 pages, a few typoes corrected, final version

arxiv created 2009/08/04 · arxiv updated 2009/12/01

Abstract

This is the sequel to arXiv:math/0001089. In this paper, we complete the promised description of moduli of abelian surfaces of low degree, covering the cases of degree (1,12), (1,14), (1,16), (1,18) and (1,20). In each case, we describe birational models for the moduli space of abelian surfaces with polarization of the given degree and either a level structure, or what we call a partial level structure. In every case, the moduli space is rational or unirational. In additional, several new Calabi-Yau threefolds fibred in abelian surfaces are described.

Citations

• Calabi-Yau Threefolds and Moduli of Abelian Surfaces I

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