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摘要翻译：
本文考虑了复阿贝尔变簇上一个多线丛的线性系统$L$中与因子的奇异轨迹相关的理想束。我们证明了它们的连续全局生成的一个有效结果。此外，我们还证明了类似的结果也适用于复阿贝尔变种的子变种。
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英文标题：
《The Equations of Singular Loci of Ample Divisors on (Subvarieties of)
Abelian Varieties》
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作者：
Luigi Lombardi and Francesco Malaspina
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最新提交年份：
2008
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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：
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system $|L|$ of an ample line bundle on a complex abelian variety. We prove an effective result on their (continuous) global generation, after suitable twists by powers of $L$. Moreover we show that similar results hold for subvarieties of a complex abelian variety.
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PDF链接：
https://arxiv.org/pdf/0803.3444
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