Hodge Structure of a Complete Intersection of Quadrics in a Projective Space

Details Hodge Structure of a Complete Intersection of Quadrics in a Projective Space Hodge Structure of a Complete Intersection of Quadrics in a Projective Space

2007-02-12

arxiv.org/abs/math/0702341v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

Given a smooth projective variety V of dimension n, one may say that V has
motivic dimension less than d+1 if the cohomology of V comes from varieties of
dimensions less than d+1 in some geometric way. In this paper, we show that a
smooth complete interesection of k quadrics has a motivic dimension less than
k.

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