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arXiv · 1608.04202

The Hard Lefschetz Theorem in positive characteristic for the Flag Varieties

Leonardo Patimo
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Abstract

For a given flag variety, we characterize the primes $p$ for which there exists a weight $\lambda$ such that the Hard Lefschetz Theorem holds for multiplication by $\lambda$ on the cohomology of the flag variety with coefficients in an infinite field of characteristic $p$.

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Leonardo Patimo. 2016-08-15. The Hard Lefschetz Theorem in positive characteristic for the Flag Varieties. https://doi.org/10.1093/imrn%2Frnx053

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