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摘要翻译：
设X是一个由约化群$G$作用的非奇异复射影簇，使得$X^{ss}\neq X_{(0)}^{s}\neq\emptyset$。我们给出了商$x_{(0)}^s/g$的Hodge-Poincar级数的公式。在秩和次不互质的情况下，利用这些计算得到了适当稳定向量丛模空间的Hodge-Poincar多项式的相应公式。我们显式地计算了秩等于2而度为偶数的情况。
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英文标题：
《The Hodge--Poincar\'e polynomial of the moduli spaces of stable vector
bundles over an algebraic curve》
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作者：
Cristian Gonzalez-Martinez
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最新提交年份：
2013
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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：
Let X be a nonsingular complex projective variety that is acted on by a reductive group $G$ and such that $X^{ss} \neq X_{(0)}^{s}\neq \emptyset$. We give formulae for the Hodge--Poincar\'e series of the quotient $X_{(0)}^s/G$. We use these computations to obtain the corresponding formulae for the Hodge--Poincar\'e polynomial of the moduli space of properly stable vector bundles when the rank and the degree are not coprime. We compute explicitly the case in which the rank equals 2 and the degree is even.
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PDF链接：
https://arxiv.org/pdf/0809.0287
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