亏格二曲线上稳定向量丛的 Brill-Noether 曲线
代数几何
2007-05-23 v1
摘要
设 U(r) 为亏格 2 光滑曲线上行列式平凡的秩 r 向量丛的模空间。映射 theta_r: U(r) -> |r Theta| 将一般丛对应于其 theta 除子,该映射是概有限 (generically finite) 的。本文给出 theta_r 的概纤维的几何解释。
引用
@article{arxiv.math/0510256,
title = {The Brill-Noether Curve of a Stable Vector Bundle on a Genus Two Curve},
author = {Sonia Brivio and Alessandro Verra},
journal= {arXiv preprint arXiv:math/0510256},
year = {2007}
}
备注
to appear on Proceedings of the Workshop Algebraic Cycles and Motives, Leiden - August, 30 - September 3, 2004