摘要翻译:
Saito先生最近证明了超平面排列的跳跃数只依赖于该排列的组合。然而,关于组合数据的公式仍然缺失。在本文中,我们给出了超平面排列的跳跃数只依赖于组合的一个公式和一个不同的证明。我们还给出了部分Hodge谱和内跳跃重数的组合公式。
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英文标题:
《Jumping numbers of hyperplane arrangements》
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作者:
Nero Budur
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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:
M. Saito recently proved that the jumping numbers of a hyperplane arrangement depend only on the combinatorics of the arrangement. However, a formula in terms of the combinatorial data was still missing. In this note, we give a formula and a different proof of the fact that the jumping numbers of a hyperplane arrangement depend only on the combinatorics. We also give a combinatorial formula for part of the Hodge spectrum and for the inner jumping multiplicities.
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PDF链接:
https://arxiv.org/pdf/0802.0878