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This article is cited in 5 scientific papers (total in 5 papers)
Some families of Abelian surfaces
I. R. Shafarevich Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
It is proved that for all algebraic curves $\Gamma$ that are coverings of given degree $n$ of a given curve $\Gamma_0$ and all non-constant families of “false elliptic curves” over $\Gamma$, their generic fibres belong to only finitely many types up to isomorphism over the algebraic closure of the field of rational functions on $\Gamma$. Applications to the theory of K3 surfaces are mentioned.
Received: 11.01.1996
Citation:
I. R. Shafarevich, “Some families of Abelian surfaces”, Izv. Math., 60:5 (1996), 1083–1093
Linking options:
https://www.mathnet.ru/eng/im92https://doi.org/10.1070/IM1996v060n05ABEH000092 https://www.mathnet.ru/eng/im/v60/i5/p213
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Abstract page: | 622 | Russian version PDF: | 268 | English version PDF: | 15 | References: | 80 | First page: | 3 |
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