Overview
Cet ouvrage est consacré à l'arithmétique des surfaces fibrées en courbes de genre 1 au-dessus de la droite projective, et à l'arithmétique des intersections de deux quadriques dans l'espace projectif. Swinnerton-Dyer introduisit en 1993 une technique permettant d'étudier les points rationnels des pinceaux de courbes de genre 1. La première moitié de l'ouvrage reprend et développe cette technique ainsi que ses généralisations ultérieures. La seconde moitié, qui repose sur la première, porte sur les surfaces de del Pezzo de degré 4 et sur les intersections de deux quadriques de dimension supérieure; les résultats annoncés dans [C. R. Math. Acad. Sci. Paris 342 (2006), no. 4, 223--227] y sont démontrés.
Full Product Details
Author: Olivier Wittenberg
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2007 ed.
Volume: 1901
Dimensions:
Width: 15.50cm
, Height: 1.30cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783540691372
ISBN 10: 3540691375
Pages: 218
Publication Date: 09 February 2007
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
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Language: French
Reviews
From the reviews: <p> The monograph under review grew out of the authora (TM)s Ph.D thesis. a ] The monograph is written in extremely careful manner. a ] There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007)
"From the reviews: ""The monograph under review grew out of the author’s Ph.D thesis. … The monograph is written in extremely careful manner. … There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties."" (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007)"
From the reviews: The monograph under review grew out of the author's Ph.D thesis. ... The monograph is written in extremely careful manner. ... There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007)
From the reviews: The monograph under review grew out of the author s Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author's Ph.D thesis. ... The monograph is written in extremely careful manner. ... There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author s Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author s Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author 's Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the authora (TM)s Ph.D thesis. a ] The monograph is written in extremely careful manner. a ] There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007)
From the reviews: The monograph under review grew out of the author s Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author's Ph.D thesis. ... The monograph is written in extremely careful manner. ... There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author s Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author s Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the author 's Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007) From the reviews: The monograph under review grew out of the authora (TM)s Ph.D thesis. a ] The monograph is written in extremely careful manner. a ] There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007)
From the reviews: The monograph under review grew out of the author s Ph.D thesis. The monograph is written in extremely careful manner. There are two introductions: the English one makes emphasis on the general context, whereas the French one contains more technical descriptions and references. To sum up, the monograph can be recommended to everyone interested in the state of the art of methods and results concerning arithmetic of rational varieties. (Boris Kunyavskii, Zentralblatt MATH, Vol. 1122 (24), 2007)
