摘要翻译:
本文研究了具有一般模的曲线C上一般稳定秩二向量丛的子线丛的Brill-Noether理论。我们把这一理论与光滑非特殊涡旋上的单等曲线的几何联系起来,超平面截面与C同构。我们的大多数结果都是基于退化技术的。
---
英文标题:
《Brill-Noether theory and non-special scrolls》
---
作者:
A. Calabri, C. Ciliberto, F. Flamini, R. Miranda
---
最新提交年份:
2007
---
分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
--
---
英文摘要:
In this paper we study the Brill-Noether theory of sub-line bundles of a general, stable rank-two vector bundle on a curve C with general moduli. We relate this theory to the geometry of unisecant curves on smooth, non-special scrolls with hyperplane sections isomorphic to C. Most of our results are based on degeneration techniques.
---
PDF链接:
https://arxiv.org/pdf/0712.2106