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Tuesday, May 5, 2020 | History

6 edition of Torsors and Rational Points (Cambridge Tracts in Mathematics) found in the catalog.

Torsors and Rational Points (Cambridge Tracts in Mathematics)

by Alexei Skorobogatov

  • 10 Want to read
  • 35 Currently reading

Published by Cambridge University Press .
Written in English

    Subjects:
  • Geometry,
  • Number Theory,
  • Algebraic Geometry,
  • Theory Of Numbers,
  • Mathematics,
  • Torsion theory (Algebra),
  • Science/Mathematics,
  • Rational points (Geometry),
  • Algebra - General,
  • General,
  • Mathematics / Number Theory,
  • Geometry - Algebraic,
  • Group Theory

  • The Physical Object
    FormatHardcover
    Number of Pages196
    ID Numbers
    Open LibraryOL7754747M
    ISBN 100521802377
    ISBN 109780521802376

    BibTeX @INPROCEEDINGS{Hamel_thereciprocity, author = {Joost Van Hamel}, title = {The Reciprocity obstruction for rational points on compactifications of torsors under tori over fields with global duality}, booktitle = {SCHOOL OF MATHEMATICS AND STATISTICS F07, UNIVERSITY OF SYDNEY, NSW , AUSTRALIA E-mail address: [email protected]}, year = {}}. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

    Rational points and arithmetic of fundamental groups: evidence for the section conjecture Jakob Stix The section conjecture in anabelian geometry, announced by Grothendieck in , is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group. Tate proved a theorem on rational points of torsors ("Torsors" means "Homogeneous spaces," in sequel we use "torsors" in this meaning) of T / K, where K is a local field, TT / K, where K is a local field, TAuthor: K. Nagashima.

      Descente de torseurs, gerbes et points rationnels - Descent of torsors, gerbes and rational pointsAuthor: Stephane Zahnd. This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number : Bjorn Poonen.


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Torsors and Rational Points (Cambridge Tracts in Mathematics) by Alexei Skorobogatov Download PDF EPUB FB2

This book, first published inis a detailed exposition of the general theory of torsors with key examples, the relation of descent to the Manin obstruction, and applications of descent: to conic bundles, to bielliptic surfaces, and to homogenous spaces of algebraic by: This book represents the first complete and coherent exposition, in a single volume, Torsors and Rational Points book both the theory and applications of torsors to rational points.

Some very recent material is included. It is demonstrated that torsors provide a unified approach to several branches 5/5(1). Torsors and rational points Alexei Skorobogatov The subject of this book is arithmetic algebraic geometry, an area between number theory and algebraic geometry.

Torsors and rational points. [Alexei Skorobogatov] -- "This book represents the first detailed exposition of: 1. the general theory of torsors with key examples, 2.

the relation of descent to the Manin obstruction, and 3. applications of descent: to. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur.

Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational : Cambridge University Press. Torsors and rational points. [Alexei Skorobogatov] -- The subject of this book is arithmetic algebraic geometry, an area between number theory and algebraic geometry.

It is about applying geometric methods to the study of polynomial equations in. texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection. National Emergency Library. Top Torsors and rational points by Skorobogatov, Alexei, Publication date Topics Torsion theory (Algebra), Rational points (Geometry) PublisherPages:   This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory.

TORSORS AND RATIONAL POINTS 3 as B → ∞, where r is the rank of the Picard group of the minimal desingularization Se of S, over Q. The constant c S,H has been defined by Peyre [Pey95]; it should be non-zero if S(Q) 6= ∅. Note that a Q-rational line on a Del Pezzo surface such as S 3 or S 4 contributes ∼ B2 rational points to the.

QAS62 Skorobogatov: Torsors and rational points We're not going to cover everything in these books. There are also Milne's course notes on various subjects: the notes on class field theory and etale cohomology are the most relevant to this course.

Grading: There will be no exams. Grades will be based on weekly homework. Rational points of torsors over a separable closure. Ask Question Asked 2 years ago. Active 2 years ago.

Viewed 79 times 1. 1 $\begingroup$ I already asked this question on Math Stack few days ago (torsors over a separable closure), but did not Browse other questions tagged algebraic-groups rational-points torsors or ask your own question.

Abstract. We discuss Manin’s conjecture (with Peyre’s refinement) concerning the distribution of rational points of bounded height on Del Pezzo surfaces, by highlighting the use of universal torsors in such counting by: P. Salberger — Tamagawa measures on universal torsors and points of bounded height on Fano varieties, Astérisque (), no.

91– Google Scholar [24]Cited by: What kind of book this is The literature on rational points is vast. To write a book on the subject, an author must 1. write thousands of pages to cover all the topics comprehensively, or 2.

focus on one aspect of the subject, or 3. write an extended survey serving as an introduction to many topics,File Size: 1MB. The aim of the paper is to relate the asymptotic growth of the number of rational points of bounded height on X to volumes of adelic spaces corresponding to the universal torsors over X.

View Show. Homotopy obstructions to rational points: Author(s): In: Skorobogatov, A. (ed.), Torsors, Etale Homotopy and Applications to Rational Points, pp.

LMS Lecture Notes Series ; Publication type: Part of book or chapter of book: Please use this identifier to cite or link to this item Cited by: Distribution of rational points: A survey Universal torsors over del Pezzo surfaces and rational points, Equidistribution in number theory, an introduction,NATO Sci.

Ser. II Math Author: Ramin Takloo-Bighash. Tate proved a theorem on rational points of torsors ("Torsors" means "Homogeneous spaces," in sequel we use "torsors" in this meaning) of T / K, where K is a local field, T is a Tate curve.

In this paper we extend the above theorem to the case where T is a twist of a Author: K. Nagashima. van der Geer and B. Moonen, Abelian varieties, book in preparation, second author's URL. Gille, L.

Moret-Bailly, Actions algébriques de groupes arithmétiques, ``Torsors, étale homotopy and application to rational points'', Proceedings of Edinburgh workshop (), edited by A.

Skorobogatov, LMS Lecture Note (), Rational points on pencils of conics and quadrics with many degenerate fibres Pages from Volume (), Issue 1 by Tim D. Browning, Lilian Matthiesen, Alexei N. Skorobogatov AbstractCited by:. Part one of the book contains lecture notes on recent uses of Torsors in geometric invariant theory and representation theory, plus an introduction to the etale homotopy theory of Artin and Mazur.

Part two of the book features a milestone paper on the etale homotopy approach to the arithmetic of rational points.We prove the analogous result for rational points, conditionally on a conjecture on locally split values of polynomials which a recent work of Matthiesen establishes Cited by: After a thorough introduction it takes the reader on an impressive tour through toric geometry, geometric invariant theory, Mori dream spaces, and universal torsors, culminating with applications to the Manin conjecture on rational points.