On a multiplicative version of Mumford's theorem
arXiv:1602.04944 · doi:10.1007/s12188-016-0121-x
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.
7 pages, to appear in Abh. Math. Semin. Univ. Hamburg. Comments still very welcome !