On Betti numbers and Chern classes of varieties with trivial odd cohomology groups

Mar, 1997
5 pages
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19972002200720122017120
Abstract: (arXiv)
It was noticed in a very recent preprint of T. Eguchi, K. Hori, and Ch.-Sh. Xiong (hep-th/9703086) 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 hp,qh^{p,q} for pqp\neq q.