R-équivalence sur les familles de variétés rationnelles and méthode de la descente

Alena Pirutka

doi:10.5802/jtnb.806

R-équivalence sur les familles de variétés rationnelles and méthode de la descente

Translated title of the contribution: R-equivalence on families of rational varieties and the descent method

Alena Pirutka

Mathematics

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

Abstract

Using the descent method of Colliot-Thélène and Sansuc, we prove that for some families f: X→! Y of rational varieties defined over a local field k of characteristic zero, the number of R-equivalence classes of the fibre X _y(k) is a locally constant function on Y (k).

Translated title of the contribution	R-equivalence on families of rational varieties and the descent method
Original language	French
Pages (from-to)	461-473
Number of pages	13
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	24
Issue number	2
DOIs	https://doi.org/10.5802/jtnb.806
State	Published - 2012

ASJC Scopus subject areas

Algebra and Number Theory

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10.5802/jtnb.806

Cite this

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author = "Alena Pirutka",

year = "2012",

doi = "10.5802/jtnb.806",

language = "French",

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AB - Using the descent method of Colliot-Thélène and Sansuc, we prove that for some families f: X→! Y of rational varieties defined over a local field k of characteristic zero, the number of R-equivalence classes of the fibre X y(k) is a locally constant function on Y (k).

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R-équivalence sur les familles de variétés rationnelles and méthode de la descente

Abstract

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