有向部分标志流形的有理零因子杯长

Pub Date : 2023-10-01 DOI:10.1515/ms-2023-0097

Vimala Ramani

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引用次数: 0

摘要

注重抽象我们compute《理性zero-divisor cup-length》部分旗歧管F˜(n 1 , ... , n k ) \[\ widetilde {F} \向左拐({{{1}的n}}, \ ldots {{n} _ {k}} right) \], ... 1型(n, n的k), k≥2。为了确定注重课堂》部分旗manifolds,我们可以把《理性zero-divisor比作《cup-length与ℤ2 \ [Z {{\ mathbb{}}{2}} \]的-zero-divisor cup-length。

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The Rational Zero-Divisor Cup-Length of Oriented Partial Flag Manifolds

ABSTRACT We compute the rational zero-divisor cup-length of the oriented partial flag manifold F ˜ ( n 1 , … , n k ) \[\widetilde{F}\left( {{n}_{1}},\ldots,{{n}_{k}} \right)\] of type ( n 1 ,…, n k ), k ≥ 2. For certain classes of oriented partial flag manifolds, we compare the rational zero-divisor cup-length and the ℤ 2 \[{{\mathbb{Z}}_{2}}\] -zero-divisor cup-length.

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