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arxiv: math/0010006 · v1 · submitted 2000-10-02 · 🧮 math.AG · math.QA

On the Cohomology of Theta Divisors of Hyperelliptic Jacobians

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keywords cohomologygrouphyperelliptick-ththetacomplementconjecturesdivisor
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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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