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摘要翻译：
本文证明了在亏格至少为2的光滑曲线上的固定秩和任意次行列式的半稳定向量丛的模空间上，只要秩足够大，广义θ因子的基轨迹是大的。它还表明，对于θ因子的正倍数，基轨迹是大的。对于行列式为零度的情形，这一工作推广了已知的结果。
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英文标题：
《Some examples of vector bundles in the base locus of the generalized
theta divisor》
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作者：
Sebastian Casalaina-Martin, Tawanda Gwena and Montserrat Teixidor i
Bigas
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最新提交年份：
2012
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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：
This paper shows that on the moduli space of semi-stable vector bundles of fixed rank and determinant (of any degree) on a smooth curve of genus at least two, the base locus of the generalized theta divisor is large provided the rank is sufficiently large. It also shows that the base locus is large for positive multiples of the theta divisor. This work extends results already known for the case where the determinant is of degree zero.
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PDF链接：
https://arxiv.org/pdf/0707.2326
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