conveau过滤和Milnor操作$Q_n$

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-05-08 DOI:10.1017/S0305004123000282

N. Yagita

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引用次数: 0

摘要

设BG为复数域${\mathbb C}$上代数群G的分类空间。Ekedahl给出了$BG\times {\mathbb P}^{\infty}$的光滑投影近似X。用Benoist和otem对X的两个隐式过滤的差定义了X的一个新的稳定的二元不变量。因此，我们给出了许多例子，使两种隐式过滤是不同的。

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Coniveau filtrations and Milnor operation $Q_n$

Abstract Let BG be the classifying space of an algebraic group G over the field ${\mathbb C}$ of complex numbers. There are smooth projective approximations X of $BG\times {\mathbb P}^{\infty}$ , by Ekedahl. We compute a new stable birational invariant of X defined by the difference of two coniveau filtrations of X, by Benoist and Ottem. Hence we give many examples such that two coniveau filtrations are different.

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来源期刊

Mathematical Proceedings of the Cambridge Philosophical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.