摘要翻译:
本文是作者在奥尔多·孔卡指导下撰写的硕士论文的成果。我们证明了连通性性质与(局部)上同调维数有关的一些结果。作为一个有趣的推论,我们有一个Cohen-Macaulay理想的每一个初始复形都是强联系的。
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英文标题:
《Groebner deformations, connectedness and cohomological dimension》
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作者:
Matteo Varbaro
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最新提交年份:
2011
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分类信息:
一级分类:Mathematics 数学
二级分类:Commutative Algebra 交换代数
分类描述:Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环,模,理想,同调代数,计算方面,不变理论,与代数几何和组合学的联系
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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 is an outcome of the author's master thesis written under the supervision of Aldo Conca. We prove some results relating connectedness properties with (local) cohomological dimension. As an interesting corollary we have that every initial complex of a Cohen-Macaulay ideal is strongly connected.
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PDF链接:
https://arxiv.org/pdf/0802.1800