Bivariant derived algebraic cobordism

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2018-07-13 DOI:10.1090/jag/754

Toni Annala

引用次数: 18

Abstract

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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双变元代数同基

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.