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001 | | | vtls000033389 |
003 | | | IISER-K |
005 | | | 20190502124200.0 |
008 | | | 180207t20182018riua b 001 0 eng |
010 | | | \a 2018-005037 |
020 | | | \a 9781470440725 \q (hbk. : alk. paper) |
020 | | | \a 1470440725 \q (hbk. : alk. paper) |
039 | | 9 | \a 201905021242 \b Siladitya \c 201905021226 \d Siladitya \y 201905021021 \z Sushanta |
040 | | | \b eng \e rda |
050 | 0 | 0 | \a QA251.5 \b .G67 2018 |
082 | 0 | 4 | \a 510 \b TMK2 |
100 | 1 | | \a Gorchinskiy, Sergey, \d 1982- \e author. |
245 | 1 | 0 | \a Unramified Brauer group and its applications / \c Sergey Gorchinskiy, Constantin Shramov. |
264 | | 1 | \a Providence, Rhode Island : \b American Mathematical Society, \c [2018] |
264 | | 4 | \c ©2018 |
300 | | | \a xvii, 179 pages : \b illustrations ; \c 27 cm. |
336 | | | \a text \b txt \2 rdacontent |
336 | | | \a still image \b sti \2 rdacontent |
337 | | | \a unmediated \b n \2 rdamedia |
338 | | | \a volume \b nc \2 rdacarrier |
490 | 1 | | \a Translations of mathematical monographs ; \v volume 246 |
504 | | | \a Includes bibliographical references (pages 167-175) and index. |
505 | 0 | | \a 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. |
650 | | 0 | \a Brauer groups. |
650 | | 0 | \a Associative algebras. |
650 | | 7 | \a Associative rings and algebras -- Division rings and semisimple Artin rings -- Brauer groups. \2 msc |
650 | | 7 | \a Algebraic geometry -- Birational geometry -- Rationality questions. \2 msc |
650 | | 7 | \a Algebraic geometry -- Special varieties -- Rational and unirational varieties. \2 msc |
650 | | 7 | \a Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Rational points. \2 msc |
650 | | 7 | \a Group theory and generalizations -- Connections with homological algebra and category theory -- Cohomology of groups. \2 msc |
650 | | 7 | \a Field theory and polynomials -- Homological methods (field theory) -- Galois cohomology. \2 msc |
700 | 1 | | \a Shramov, Constantin, \e author. |
830 | | 0 | \a Translations of mathematical monographs ; \v volume 246 |
906 | | | \a 7 \b cbc \c orignew \d 1 \e ecip \f 20 \g y-gencatlg |
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