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On the Cohomology of Theta Divisors of Hyperelliptic Jacobians

Atsushi Nakayashiki
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Abstract

We prove that k-th singular cohomology group of the complement of the theta divisor in a hyperelliptic Jacobian is isomorphic to the k-th fundamental representation of the symplectic group Sp(2g,C). This is one of the conjectures in our previous paper.

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BibTeXRIS

Atsushi Nakayashiki. 2000-10-02. On the Cohomology of Theta Divisors of Hyperelliptic Jacobians. https://arxiv.org/abs/math/0010006

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