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Surfaces de del Pezzo de degré 4 sur un corps $C_1$

Published 5 Apr 2014 in math.AG and math.NT | (1404.1460v2)

Abstract: Sur toute surface de del Pezzo de degr\'e 4 sur un corps $C_1$ de caract\'eristique z\'ero, tous les points rationnels sont R-\'equivalents. Plus g\'en\'eralement, ceci vaut sur tout corps parfait infini de caract\'eristique diff\'erente de 2. ---- On a del Pezzo surface of degree 4 over a characteristic zero $C_1$-field, all rational points are R-equivalent.This more generally holds over any infinite perfect $C_{1}$-field of characteristic different from 2.

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