Reduced Steenrod operations and resolution of singularities

Reduced Steenrod operations and resolution of singularities
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减少 Steenrod 操作并解决奇点

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
Olivier Haution
Olivier Haution
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文献类型:
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作者:
Olivier Haution

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对于一类簇,给出了模素数p的Chow群的Steenrod运算的一个弱形式的新构造。这类包含投射齐次簇,它们要么是分裂的,要么是在一个允许某种形式的奇点分解的域上考虑的,例如任何特征不为p的域。这些简化的Steenrod运算对于二次型理论的某些应用是足够的。
We give a new construction of a weak form of Steenrod operations for Chow groups modulo a prime number p for a certain class of varieties. This class contains projective homogeneous varieties which are either split or considered over a field admitting some form of resolution of singularities, for example any field of characteristic not p . These reduced Steenrod operations are sufficient for some applications to the theory of quadratic forms.
DOI: 10.1007/s00208-013-0956-8
发表时间: 2013
影响因子: 1.4
作者:
Haution O
通讯作者: Haution O