A remark on the non-rationality Problem for generic cubic fourfolds
Algebraic Geometry
2007-05-23 v1
Abstract
It is proved that the non-rationality of a generic cubic fourfold follows from a conjecture on the non-decomposability in the direct sum of non-trivial polarized Hodge structures of the polarized Hodge structure on transcendental cycles on a projective surface.
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Cite
@article{arxiv.math/0610963,
title = {A remark on the non-rationality Problem for generic cubic fourfolds},
author = {Vik. S. Kulikov},
journal= {arXiv preprint arXiv:math/0610963},
year = {2007}
}
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9 pages