On the Cohomology of Theta Divisors of Hyperelliptic Jacobians

2000/10/02 by Atsushi Nakayashiki, Nakayashiki, Atsushi
Mathematics · #14H40 #14H45 #14H51 #14H70 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Quantum Algebra (math.QA) #math.AG #math.QA #msc:14H40 #msc:14H45 #msc:14H51 #msc:14H70

paper · pdf · doi:10.48550/arxiv.math/0010006

10 pages, no figures

arxiv created 2000/10/02 · openalex publication_date 2000/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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