منابع مشابه
Vanishing of Odd Dimensional Intersection Cohomology Ii
For a variety where a connected linear algebraic group acts with only finitely many orbits, each of which admits an attractive slice, we show that the stratification by orbits is perfect for equivariant intersection cohomology with respect to any equivariant local system. This applies to provide a relationship between the vanishing of the odd dimensional intersection cohomology sheaves and of t...
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We prove that the triviality of the Galois action on the suitably twisted odd-dimensional étale cohomogy group with finite coefficients of an absolutely irreducible smooth projective variety implies the existence of certain primitive roots of unity in the field of definition of the variety. This text was inspired by an exercise in Serre’s Lectures on the Mordell–Weil theorem.
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متن کاملOdd primary string cohomology
Let X be a connected space and let K = H∗(X; Fp) where p is an odd prime. We construct functors ω and l which approximate the cohomology of the free loop space ΛX as follows: There are morphisms ω(K) → H∗(ΛX; Fp) and l(K) → H ∗ S1(ΛX;Fp). These are isomorphisms when X is a product of Eilenberg-MacLane spaces of type K(Fp, n) for n ≥ 1. MSC: 55N91; 55P35; 55R12
متن کاملOn Betti numbers and Chern classes of varieties with trivial odd cohomology groups
It was observed in a very recent preprint (hep-th/9703086) by T. Eguchi, K. Hori, and Ch.-Sh. Xiong that a curious identity between Betti numbers and Chern classes holds for many examples of Fano varieties. The goal of this paper is to prove that for varieties with trivial odd cohomology groups this identity is equivalent to having zero Hodge numbers h for p 6= q.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1971
ISSN: 0021-8693
DOI: 10.1016/0021-8693(71)90021-4