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This article is cited in 14 scientific papers (total in 15 papers)
Minimal models of curves of genus 2 and homomorphisms of abelian varieties defined over a field of finite characteristic
A. N. Parshin
Abstract:
In this article, we prove a finiteness theorem for isogenous abelian varieties of dimension 2 defined over a field of algebraic functions of one variable whose characteristic $\ne2$. By means of this result, we prove Tate's conjecture on homomorphisms of abelian varieties of dimension 1 defined over the same field.
Received: 01.07.1971
Citation:
A. N. Parshin, “Minimal models of curves of genus 2 and homomorphisms of abelian varieties defined over a field of finite characteristic”, Math. USSR-Izv., 6:1 (1972), 65–108
Linking options:
https://www.mathnet.ru/eng/im2291https://doi.org/10.1070/IM1972v006n01ABEH001868 https://www.mathnet.ru/eng/im/v36/i1/p67
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Abstract page: | 617 | Russian version PDF: | 190 | English version PDF: | 24 | References: | 49 | First page: | 3 |
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