Refined Brill-Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves
Algebraic Geometry
2007-05-23 v1
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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@article{arxiv.math/0101183,
title = {Refined Brill-Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves},
author = {Lin WENG},
journal= {arXiv preprint arXiv:math/0101183},
year = {2007}
}
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