Équivalence rationnelle sur les hypersurfaces cubiques sur les corps p-adiques

David A. Madore

doi:10.1007/s00229-002-0327-3

Équivalence rationnelle sur les hypersurfaces cubiques sur les corps p-adiques

David A. Madore

Université Paris-Saclay

Research output: Contribution to journal › Article › peer-review

Abstract

We study R-equivalence on cubic hypersurfaces, and explain how to construct families of rational curves. We show that for a smooth cubic hypersurface defined over a number field K, the Chow group of zero-cycles of degree 0 is trivial in almost every place of K.

Original language	English
Pages (from-to)	171-185
Number of pages	15
Journal	Manuscripta Mathematica
Volume	110
Issue number	2
DOIs	https://doi.org/10.1007/s00229-002-0327-3
Publication status	Published - 1 Feb 2003
Externally published	Yes

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Équivalence rationnelle sur les hypersurfaces cubiques sur les corps p-adiques

Abstract

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