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On the kernel of the push-forward homomorphism between Chow groups

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abstract

In this note we prove that the kernel of the push-forward homomorphism on $d$-cycles modulo rational equivalence, induced by the closed embedding of an ample divisor linearly equivalent to some multiple of the theta divisor inside the Jacobian variety $J(C)$ is trivial. Here $C$ is a smooth projective curve of genus $g$.

fields

math.AG 2

years

2019 2

verdicts

UNVERDICTED 2

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