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Calabi-Yau three-folds and moduli of abelian surfaces II
Transactions of the American Mathematical Society
We give explicit descriptions of the moduli spaces of abelian surfaces with polarizations of type (1, d), for d = 12, 14, 16, 18 and 20. More precisely, in each case we show that a certain choice of moduli space of such abelian surfaces with a partial level structure can be described explicitly and is unirational, and in some cases rational. These moduli spaces with partial level structure are covers of the ordinary moduli spaces, so the Kodaira dimension of the ordinary moduli spaces in thesedoi:10.1090/s0002-9947-2011-05179-2 fatcat:5xmqsrjzqja57c73nrzaij25pe