A remark on the non-rationality Problem for generic cubic fourfolds

Details A remark on the non-rationality Problem for generic cubic fourfolds A remark on the non-rationality Problem for generic cubic fourfolds

2006-10-31

arxiv.org/abs/math/0610963v1

Mathematics

Algebraic Geometry

9 pages

Scientific paper

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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