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Call Number 510 TMK2
Author Gorchinskiy, Sergey, 1982- author.
Title Unramified Brauer group and its applications / Sergey Gorchinskiy, Constantin Shramov.
Material Info. xvii, 179 pages : illustrations ; 27 cm.
Series Translations of mathematical monographs ; volume 246
Series Translations of mathematical monographs ; volume 246
Notes Includes bibliographical references (pages 167-175) and index.
Notes Part I . Preliminaries on Galois cohomology -- Chapter 1. Group Cohomology -- Chapter 2. Galois Cohomology -- Part II . Brauer group -- Chapter 3. Brauer Group of a Field -- Chapter 4. Residue Map on a Brauer Group -- Part III . Applications to rationality problems -- Chapter 5. Example of a Unirational Non-rational Variety -- Chapter 6. Arithmetic of Two-dimensional Quadrics -- Chapter 7. Non-rational Double Covers of \Pb p3 s -- Chapter 8. Weil Restriction and Algebraic Tori -- Chapter 9. Example of a Non-rational Stably Rational Variety -- Part IV . The Hasse principle and its failure -- Chapter 10. Minkowski-Hasse Theorem -- Chapter 11. Brauer-Manin Obstruction.
ISBN 9781470440725
ISBN 1470440725
Subject Brauer groups.
Subject Associative algebras.
Subject Associative rings and algebras -- Division rings and semisimple Artin rings -- Brauer groups.
Subject Algebraic geometry -- Birational geometry -- Rationality questions.
Subject Algebraic geometry -- Special varieties -- Rational and unirational varieties.
Subject Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points.
Subject Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups.
Subject Field theory and polynomials -- Homological methods (field theory) -- Galois cohomology.
Added Entry Shramov, Constantin, author.
Date Year, Month, Day:01905021
Purchase Order Status
PO ID Line Number Destination Order Quantity Received Quantity Latest Order Modification Date Last Received Date
321 1 The Librarian 1 1 2-15-2019 14:35 5-2-2019 00:00

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