摘要翻译:
为了证明Milnor和Bloch-Kato猜想,Voedvodsky在motivic上同调中定义了Steenrod运算。这些操作也是由布鲁斯南为周环建造的。本文的目的是为形式群律为二阶的广义上同调理论构造代数几何中的Steenrod运算提供一个背景。我们采用了Bisson-Joyal在研究无定向共边和mod 2上同调中的Steenrod和Dyer-Lashof运算时所用的方法。
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英文标题:
《Extended powers and Steenrod operations in algebraic geometry》
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作者:
Terrence P. Bisson, Aristide Tsemo
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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:
Steenrod operations have been defined by Voedvodsky in motivic cohomology in order to show the Milnor and Bloch-Kato conjectures. These operations have also been constructed by Brosnan for Chow rings. The purpose of this paper is to provide a setting for the construction of the Steenrod operations in algebraic geometry, for generalized cohomology theories whose formal group law has order two. We adapt the methods used by Bisson-Joyal in studying Steenrod and Dyer-Lashof operations in unoriented cobordism and mod 2 cohomology.
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PDF链接:
https://arxiv.org/pdf/0708.0571