Constructions of Non-Abelian Zeta Functions for Curves

Details Constructions of Non-Abelian Zeta Functions for Curves Constructions of Non-Abelian Zeta Functions for Curves

2001-02-08

arxiv.org/abs/math/0102064v1

Mathematics

Algebraic Geometry

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Scientific paper

In this paper, we introduce (local and) global non-abelian zeta functions for
general curves. As an example, we compute the so-called rank two zeta functions
for genus two curves by studying non-abelian Brill-Noether loci and their
infinitesimal structures.

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