Refined Brill-Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves

Lin WENG

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arXiv · math/0101183

Refined Brill-Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves

Lin WENG

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Abstract

New local and global non-abelian zeta functions for elliptic curves are studied using certain refined Brill-Noether loci in moduli spaces of semi-stable bundles. Examples of these zeta functions and a justification of using only semi-stable bundles are given too. We end this paper with an appendix on the so-called Weierstrass Groups for general curves, which is motivated by a construction of Euler systems from torsion points (of elliptic curves).

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Lin WENG. 2001-01-23. Refined Brill-Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves. https://arxiv.org/abs/math/0101183

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