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摘要翻译：
给定$G$属曲线$C$上的秩$R$和度$D$的向量束$E$，人们可以以自然的方式将其他几个向量束与$E$联系起来。例如，一个可以采取楔幂$E$。如果$E$是由全局区段生成的，则区段的求值映射的内核又是一个向量束。另外，新的向量束可以通过在一个固定点上进行初等变换来产生。在适当的度和秩条件下，这些构造可以全局进行。虽然所有这些过程看起来都很基本，但对结果地图知之甚少。本文旨在填补这一空白。
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英文标题：
《Maps between moduli spaces of vector bundles and the base locus of the
theta divisor》
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作者：
Tawanda Gwena, Montserrat Teixidor i Bigas
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最新提交年份：
2007
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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
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英文摘要：
Given a vector bundle $E$ of rank $r$ and degree $d$ on a curve $C$ of genus $g$, one can associate to $E$ in a natural way several other vector bundles. For example, one can take wedge powers of $E$. If $E$ is generated by global sections, the kernel of the evaluation map of sections is again a vector bundle. Also, new vector bundles can be produced by taking elementary transformations centered at a fixed point. Under suitable conditions on degree and rank, these constructions can be carried out globally. While all this processes seem quite elementary, very little is known about the resulting maps. The purpose of this paper is to fill in this gap.
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PDF链接：
https://arxiv.org/pdf/0706.3953
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