On the Cohomology of Theta Divisors of Hyperelliptic Jacobians

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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.
10 pages, no figures

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Algebraic Geometry, Quantum Algebra, 14H40; 14H51; 14H45; 14H70

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https://dspace.dare.co.zw/handle/123456789/93953

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arXiv

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