Torsors Tale Homotopy And Applications To Rational Points
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Torsors Tale Homotopy And Applications To Rational Points
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Author : Alexei N. Skorobogatov
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-18
Torsors Tale Homotopy And Applications To Rational Points written by Alexei N. Skorobogatov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. 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 points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer–Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry.
Torsors Etale Homotopy And Applications To Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher:
Release Date : 2014-05-14
Torsors Etale Homotopy And Applications To Rational Points written by Alexei Skorobogatov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Lecture notes and research articles on the use of torsors and etale homotopy in algebraic and arithmetic geometry.
Torsors Tale Homotopy And Applications To Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher:
Release Date : 2013
Torsors Tale Homotopy And Applications To Rational Points written by Alexei Skorobogatov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Geometry, Algebraic categories.
Torsors And Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher: Cambridge University Press
Release Date : 2001-07-05
Torsors And Rational Points written by Alexei Skorobogatov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-05 with Mathematics categories.
This book, first published in 2001, is a complete and coherent exposition of the theory and applications of torsors to rational points.
Torsors Tale Homotopy And Applications To Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-18
Torsors Tale Homotopy And Applications To Rational Points written by Alexei Skorobogatov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.
Beyond Hyperbolicity
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Author : Mark Hagen
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-11
Beyond Hyperbolicity written by Mark Hagen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-11 with Mathematics categories.
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.
Rational Points On Varieties
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Author : Bjorn Poonen
language : en
Publisher: American Mathematical Society
Release Date : 2023-08-10
Rational Points On Varieties written by Bjorn Poonen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-10 with Mathematics categories.
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. The book is unconventional in that it provides concise accounts of many topics instead of a comprehensive account of just one—this is intentionally designed to bring readers up to speed rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, étale and fppf cohomology, the Weil conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to-earth explanations and the over 100 exercises make the book suitable for use as a graduate-level textbook, but even experts will appreciate having a single source covering many aspects of geometry over an unrestricted ground field and containing some material that cannot be found elsewhere. The origins of arithmetic (or Diophantine) geometry can be traced back to antiquity, and it remains a lively and wide research domain up to our days. The book by Bjorn Poonen, a leading expert in the field, opens doors to this vast field for many readers with different experiences and backgrounds. It leads through various algebraic geometric constructions towards its central subject: obstructions to existence of rational points. —Yuri Manin, Max-Planck-Institute, Bonn It is clear that my mathematical life would have been very different if a book like this had been around at the time I was a student. —Hendrik Lenstra, University Leiden Understanding rational points on arbitrary algebraic varieties is the ultimate challenge. We have conjectures but few results. Poonen's book, with its mixture of basic constructions and openings into current research, will attract new generations to the Queen of Mathematics. —Jean-Louis Colliot-Thélène, Université Paris-Sud A beautiful subject, handled by a master. —Joseph Silverman, Brown University
Cox Rings
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Author : Ivan Arzhantsev
language : en
Publisher: Cambridge University Press
Release Date : 2015
Cox Rings written by Ivan Arzhantsev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.
Galois Representations In Arithmetic Algebraic Geometry
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Author : A. J. Scholl
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-26
Galois Representations In Arithmetic Algebraic Geometry written by A. J. Scholl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-26 with Mathematics categories.
Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.
Foundations Of Algebraic Geometry 29
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Author : André 1906- Weil
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-10
Foundations Of Algebraic Geometry 29 written by André 1906- Weil and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-10 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.