Theta divisors of abelian varieties and push-forward homomorphism at the level of Chow groups

Kalyan Banerjee

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arXiv · 1609.03636

Theta divisors of abelian varieties and push-forward homomorphism at the level of Chow groups

Kalyan Banerjee

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Abstract

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 $\Th_A$ to be the divisor $\Th_C\cap A$, where $\Th_C$ denotes the theta divisor of $J(C)$, then the embedding of $\Th_A$ 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.

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BibTeX RIS

Kalyan Banerjee. 2016-09-12. Theta divisors of abelian varieties and push-forward homomorphism at the level of Chow groups. https://arxiv.org/abs/1609.03636

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