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arXiv · 1507.04484

Correspondences and singular varieties

Robert Laterveer
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Abstract

What is generally known as the "Bloch--Srinivas method" consists of decomposing the diagonal of a smooth projective variety, and then considering the action of correspondences in cohomology. In this note, we observe that this same method can also be extended to singular and quasi--projective varieties. We give two applications of this observation: the first is a version of Mumford's theorem, the second is concerned with the Hodge conjecture for singular varieties.

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Robert Laterveer. 2015-07-16. Correspondences and singular varieties. https://doi.org/10.1007/s00605-015-0772-1

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