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Articles
Theta divisors of abelian varieties and push-forward homomorphism at the level of Chow groupsPublished in
2016
Volume: 3636
In this text we prove that if an abelian variety {\$}A{\$} admits of an embedding into the Jacobian of a smooth projective curve {\$}C{\$} and if we consider {\$}\backslashTh{\_}A{\$} to be the divisor {\$}\backslashTh{\_}C\backslashcap A{\$}, where {\$}\backslashTh{\_}C{\$} denotes the theta divisor of {\$}J(C){\$}, then the embedding of {\$}\backslashTh{\_}A{\$} into {\$}A{\$} induces an injective push-forward homomorphism at the level of Chow groups. We show that this is the case for every principally polarized abelian varieties. We further prove that the above result can be obtained for a family of abelian varieties embedded into a family of Jacobians.
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| Journal | arXiv preprint arXiv:1609. |
|---|
Authors (1)
Kalyan BanerjeeÉtale monodromy and rational equivalence for 1-cycles on cubic hypersurfaces in [IMG align=ABSMIDDLE alt=$ \mathbb P^5$]tex_sm_4847_img1[/IMG]
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