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摘要翻译：
奇点多项式表示对偶于奇点子流形的上同调类。Thom多项式的一个稳定性质是经典的，即平凡的展开不改变Thom多项式。本文证明了这是乘积规则的一个特例。乘积法则使我们能够在知道乘积奇点的Thom多项式的情况下计算奇点的Thom多项式。作为乘积规则的一个特例，我们定义了一个与有限维交换复局部代数Q相关的形式幂级数（Thom级数，Ts_Q)，使得具有局部代数Q的{em每}个奇点的Thom多项式可以从Ts_Q中恢复出来。
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英文标题：
《On the structure of Thom polynomials of singularities》
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作者：
L. M. Feher, R. Rimanyi
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最新提交年份：
2007
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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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一级分类：Mathematics 数学
二级分类：Algebraic Topology 代数拓扑
分类描述：Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论，同调代数，流形的代数处理
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英文摘要：
Thom polynomials of singularities express the cohomology classes dual to singularity submanifolds. A stabilization property of Thom polynomials is known classically, namely that trivial unfolding does not change the Thom polynomial. In this paper we show that this is a special case of a product rule. The product rule enables us to calculate the Thom polynomials of singularities if we know the Thom polynomial of the product singularity. As a special case of the product rule we define a formal power series (Thom series, Ts_Q) associated with a commutative, complex, finite dimensional local algebra Q, such that the Thom polynomial of {\em every} singularity with local algebra Q can be recovered from Ts_Q.
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PDF链接：
https://arxiv.org/pdf/0708.3068
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