Motives of hypersurfaces of very small degree
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- by Andre Chatzistamatiou PDF
- Proc. Amer. Math. Soc. 138 (2010), 435-444 Request permission
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 $\mathbb {Q} (-l)$ of the Lefschetz motive.References
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Additional Information
- Andre Chatzistamatiou
- Affiliation: Fachbereich Mathematik, Universität Duisburg-Essen, 45117 Essen, Germany
- Email: a.chatzistamatiou@uni-due.de
- Received by editor(s): January 18, 2008
- Received by editor(s) in revised form: April 27, 2009
- Published electronically: October 5, 2009
- Additional Notes: The author was supported by a fellowship within the Post-Doc program of the Deutsche Forschungsgemeinschaft (DFG)
- Communicated by: Ted Chinburg
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 435-444
- MSC (2000): Primary 14-XX
- DOI: https://doi.org/10.1090/S0002-9939-09-10177-6
- MathSciNet review: 2557161