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- W2955513957 abstract "We study the Hodge structure of elliptic surfaces which are canonically defined from bielliptic curves of genus three. We prove that the period map for the second cohomology has one dimensional fibers, and the period map for the total cohomology is of degree twelve, and moreover, by adding the information of the Hodge structure of the canonical divisor, we prove a generic Torelli theorem for these elliptic surfaces. Finally, we give explicit examples of the pair of non-isomorphic elliptic surfaces which have the same Hodge structure on themselves and the same Hodge structure on their canonical divisors." @default.
- W2955513957 created "2019-07-12" @default.
- W2955513957 creator A5030673379 @default.
- W2955513957 date "2017-01-24" @default.
- W2955513957 modified "2023-09-24" @default.
- W2955513957 title "Bielliptic curves of genus three and the Torelli problem for certain elliptic surfaces" @default.
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- W2955513957 doi "https://doi.org/10.48550/arxiv.1701.06984" @default.
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