Intersections de deux quadriques et pinceaux de courbes de genre 1 = Intersections of two quadrics and pencils of curves of genus 1 / Olivier Wittenberg.

By:

Wittenberg, Olivier

Material type: Text

TextLanguage: French Summary language: English Series: Lecture notes in mathematics (Springer-Verlag) ; 1901.Publication details: Berlin ; New York : Springer, ©2007.Description: 1 online resource (viii, 218 pages)Content type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540691419
3540691413
3540691375
9783540691372

Other title:

Intersections of two quadrics and pencils of curves of genus 1

Subject(s): Additional physical formats: Print version:: Intersections de deux quadriques et pinceaux de courbes de genre 1 =.DDC classification:

516.3/5 22

LOC classification:

QA564 .W58 2007eb

Other classification:

31.51
O151. 1
O187

Online resources:

Click here to access online

Contents:

Arithmétique des pinceaux semi-stables de courbes de genre 1 (première partie) -- Arithmétique des pinceaux semi-stables de courbes de genre 1 (seconde partie) -- Principe de Hasse pour les surfaces de del Pezzo de degré 4.

Action note:

digitized 2010 HathiTrust Digital Library committed to preserve

In: Springer e-booksSummary: 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. This research monograph focuses on the arithmetic, over number fields, of surfaces fibred into curves of genus 1 over the projective line, and of intersections of two quadrics in projective space. The first half contains a complete account of the technique initiated by Swinnerton-Dyer in 1993 for studying rational points on pencils of curves of genus 1, while incorporating and generalising most of its subsequent refinements. The second half, which builds upon the first, is devoted to quartic del Pezzo surfaces and higher-dimensional intersections of two quadrics. It culminates in the proof of the results announced in [C.R. Math. Acad. Sci. Paris 342 (2006), no. 4, 223--227].

Holdings ( 1 )
Title notes ( 10 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

In French, supplemented with an introduction in English.

Includes bibliographical references (pages 209-213) and index.

Print version record.

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Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

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. This research monograph focuses on the arithmetic, over number fields, of surfaces fibred into curves of genus 1 over the projective line, and of intersections of two quadrics in projective space. The first half contains a complete account of the technique initiated by Swinnerton-Dyer in 1993 for studying rational points on pencils of curves of genus 1, while incorporating and generalising most of its subsequent refinements. The second half, which builds upon the first, is devoted to quartic del Pezzo surfaces and higher-dimensional intersections of two quadrics. It culminates in the proof of the results announced in [C.R. Math. Acad. Sci. Paris 342 (2006), no. 4, 223--227].