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arXiv math/0605711math.ATmath.AG
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实二次曲面的双分次等变上同调

Bigraded Equivariant Cohomology of Real Quadrics

Pedro F. dos Santos, Paulo Lima-Filho

摘要:

给出了系数在常数Mackey函子$ \mathbf{Z} $中的光滑射影实二次型双阶Bredon上同调环的完整刻画.这些不变量是密切相关的积分motivic上同调环,这是不知道这些品种。所介绍的一些结果和技巧可以应用于其他几何胞腔实簇。

英文摘要:

We give a complete description of the bigraded Bredon cohomology ring of smooth projective real quadrics, with coefficients in the constant Mackey functor $ \mathbf{Z} $. These invariants are closely related to the integral motivic cohomology ring, which is not known for these varieties. Some of the results and techniques introduced can be applied to other geometrically cellular real varieties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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