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arXiv · 1602.04944

On a multiplicative version of Mumford's theorem

Robert Laterveer
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Abstract

A theorem of Esnault, Srinivas and Viehweg asserts that if the Chow group of 0-cycles of a smooth complete complex variety decomposes, then the top-degree coherent cohomology group decomposes similarly. In this note, we prove a similar statement for Chow groups of arbitrary codimension, provided the variety satisfies the Lefschetz standard conjecture.

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Robert Laterveer. 2016-02-16. On a multiplicative version of Mumford's theorem. https://doi.org/10.1007/s12188-016-0121-x

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