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Intersections de Deux Quadriques Et Pinceaux de Courbes de Genre 1/Intersections Of Two Quadrics And Pencils Of Curves Of Genus 1 by Olivier Wittenberg
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Intersections de Deux Quadriques Et Pinceaux de Courbes de Genre 1/Intersections Of Two Quadrics And Pencils Of Curves Of Genus 1

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Description

Cet ouvrage est consacrA(c) A l'arithmA(c)tique des surfaces fibrA(c)es en courbes de genre 1 au-dessus de la droite projective, et A l'arithmA(c)tique des intersections de deux quadriques dans l'espace projectif. Swinnerton-Dyer introduisit en 1993 une technique permettant d'A(c)tudier les points rationnels des pinceaux de courbes de genre 1. La premiA]re moitiA(c) de l'ouvrage reprend et dA(c)veloppe cette technique ainsi que ses gA(c)nA(c)ralisations ultA(c)rieures. La seconde moitiA(c), qui repose sur la premiA]re, porte sur les surfaces de del Pezzo de degrA(c) 4 et sur les intersections de deux quadriques de dimension supA(c)rieure; les rA(c)sultats annoncA(c)s dans [C. R. Math. Acad. Sci. Paris 342 (2006), no. 4, 223--227] y sont dA(c)montrA(c)s.
Release date Australia
March 29th, 2010
Audience
  • General (US: Trade)
Country of Publication
Germany
Illustrations
illustrations
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Pages
218
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Dimensions
155x234x13
ISBN-13
9783540691372
Product ID
5265061

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