双变元代数同基

Pub Date : 2018-07-13 DOI:10.1090/jag/754

Toni Annala

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引用次数: 18

摘要

我们将Lowrey和Schürg的代数边界论推广到Fulton和MacPherson意义上的双变理论，并建立了它的一些基本性质。作为一个特例，我们得到了奇异拟投影格式的同基环的一个全新理论。与拓扑中的Conner-Floyd定理类似，扩展共基数被证明专门化为代数K0K^0。我们还给出了奇异方案的Chow环的正确定义的一个候选者。

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Bivariant derived algebraic cobordism

We extend the derived algebraic bordism of Lowrey and Schürg to a bivariant theory in the sense of Fulton and MacPherson and establish some of its basic properties. As a special case, we obtain a completely new theory of cobordism rings of singular quasi-projective schemes. The extended cobordism is shown to specialize to algebraic K 0 K^0 analogously to the Conner-Floyd theorem in topology. We also give a candidate for the correct definition of Chow rings of singular schemes.

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