Brauer Groups In Ring Theory And Algebraic Geometry Antwerp 1981
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Author | : F. van Oystaeyen |
Publisher | : Springer |
Total Pages | : 312 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 354039057X |
Download Brauer Groups in Ring Theory and Algebraic Geometry Book in PDF, Epub and Kindle
Author | : A. Verschoren |
Publisher | : |
Total Pages | : 300 |
Release | : 1982 |
Genre | : |
ISBN | : |
Download Brauer Groups in Ring Theory and Algebraic Geometry, Antwerp 1981 Book in PDF, Epub and Kindle
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : |
Genre | : |
ISBN | : 9780387112169 |
Download Brauer Groups in Ring Theory and Algebraic Geometry Book in PDF, Epub and Kindle
Author | : Karl-Ulrich Grusa |
Publisher | : |
Total Pages | : 300 |
Release | : 1982 |
Genre | : Banach spaces |
ISBN | : 9780387112169 |
Download Brauer Groups in Ring Theory and Algebraic Geometry Book in PDF, Epub and Kindle
Author | : Stefaan Caenepeel |
Publisher | : CRC Press |
Total Pages | : |
Release | : 2020-09-30 |
Genre | : Mathematics |
ISBN | : 1000116735 |
Download Rings, Hopf Algebras, and Brauer Groups Book in PDF, Epub and Kindle
"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "
Author | : F. van Oystaeyen |
Publisher | : |
Total Pages | : 314 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662212851 |
Download Brauer Groups in Ring Theory and Algebraic Geometry Book in PDF, Epub and Kindle
Author | : Freddy M. J. van Oystaeyen |
Publisher | : |
Total Pages | : 300 |
Release | : 1982 |
Genre | : |
ISBN | : |
Download Bauer Groups in Ring Theory and Algebraic Geometry Book in PDF, Epub and Kindle
Author | : Jorg Jahnel |
Publisher | : American Mathematical Soc. |
Total Pages | : 280 |
Release | : 2014-12-02 |
Genre | : Mathematics |
ISBN | : 1470418827 |
Download Brauer Groups, Tamagawa Measures, and Rational Points on Algebraic Varieties Book in PDF, Epub and Kindle
The central theme of this book is the study of rational points on algebraic varieties of Fano and intermediate type--both in terms of when such points exist and, if they do, their quantitative density. The book consists of three parts. In the first part, the author discusses the concept of a height and formulates Manin's conjecture on the asymptotics of rational points on Fano varieties. The second part introduces the various versions of the Brauer group. The author explains why a Brauer class may serve as an obstruction to weak approximation or even to the Hasse principle. This part includes two sections devoted to explicit computations of the Brauer-Manin obstruction for particular types of cubic surfaces. The final part describes numerical experiments related to the Manin conjecture that were carried out by the author together with Andreas-Stephan Elsenhans. The book presents the state of the art in computational arithmetic geometry for higher-dimensional algebraic varieties and will be a valuable reference for researchers and graduate students interested in that area.
Author | : Jean-Louis Colliot-Thélène |
Publisher | : Springer Nature |
Total Pages | : 450 |
Release | : 2021-07-30 |
Genre | : Mathematics |
ISBN | : 3030742482 |
Download The Brauer–Grothendieck Group Book in PDF, Epub and Kindle
This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere; notably, de Jong’s proof of Gabber’s theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer–Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer–Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry.
Author | : Freddy Van Oystaeyen |
Publisher | : Springer Science & Business Media |
Total Pages | : 569 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400963696 |
Download Methods in Ring Theory Book in PDF, Epub and Kindle
Proceedings of the NATO Advanced Study Institute, Antwerp, Belgium, August 2-12, 1983