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arXiv · 0801.2494

Motives of hypersurfaces of very small degree

Andre Chatzistamatiou
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Abstract

We study the Chow motive (with rational coefficients) of a hypersurface X in the projective space by using the variety F(X) of l-dimensional planes contained in X. If the degree of X is sufficiently small we show that the primitive part of the motive of X is the tensor product of a direct summand in the motive of a suitable complete intersection in F(X) and the l-th twist Q(-l) of the Lefschetz motive.

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Andre Chatzistamatiou. 2008-01-16. Motives of hypersurfaces of very small degree. https://arxiv.org/abs/0801.2494

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