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- W2028751441 abstract "We prove that the moduli spaces $mathcal{A}_3(D)$ of polarized Abelian threefolds with polarizations of types D=(1,1,2),(1,2,2),(1,1,3) or (1,3,3) are unirational. The result is based on the study of families of simple coverings of elliptic curves of degree 2 or 3 and on the study of the corresponding period mappings associated with holomorphic differentials with trace 0. In particular we prove the unirationality of the Hurwitz space $mathcal{H}_{3,A}(Y)$ which parametrizes simply branched triple coverings of an elliptic curve Y with determinants of the Tschirnhausen modules isomorphic to A-1." @default.
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- W2028751441 date "2004-08-01" @default.
- W2028751441 modified "2023-10-03" @default.
- W2028751441 title "Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of Abelian threefolds" @default.
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- W2028751441 doi "https://doi.org/10.1007/s10231-003-0098-9" @default.
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