| Tag |
In 1 |
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Data |
| 001 | | | vtls000029894 |
| 003 | | | IISER-K |
| 005 | | | 20171005121900.0 |
| 008 | | | 160901t20172017sz a b 000 0 eng d |
| 010 | | | \a 2017-930680 |
| 020 | | | \a 3319468510 \q (hardback) |
| 020 | | | \a 9783319468518 \q (hardback) |
| 020 | | | \z 9783319468525 \q (ebook) |
| 035 | | | \a (OCoLC)ocn957533204 |
| 035 | | | \a (OCoLC)957533204 \z (OCoLC)957509010 |
| 039 | | 9 | \a 201710051219 \b Siladitya \c 201710051212 \d Siladitya \y 201710041215 \z Sushanta |
| 082 | 0 | 4 | \a 512.46 \b BRQ7 |
| 245 | 0 | 0 | \a Brauer groups and obstruction problems : \b moduli spaces and arithmetic / \c Asher Auel [and three others], Editors. |
| 264 | | 1 | \a Cham, Switzerland : \b Birkhäuser, \c [2017] |
| 264 | | 4 | \c ©2017 |
| 300 | | | \a ix, 247 pages : \b illustrations ; \c 25 cm. |
| 336 | | | \a text \b txt \2 rdacontent |
| 337 | | | \a unmediated \b n \2 rdamedia |
| 338 | | | \a volume \b nc \2 rdacarrier |
| 490 | 1 | | \a Progress in Mathematics ; \v volume 320 |
| 504 | | | \a Includes bibliographical references. |
| 505 | 0 | | \a The Brauer group is not a derived invariant -- Twisted derived equivalences for affine schemes -- Rational points on twisted K3 surfaces and derived equivalences -- Universal unramified cohomology of cubic fourfolds containing a plane -- Universal spaces for unramified Galois cohomology -- Rational points on K3 surfaces and derived equivalence -- Unramified Brauer classes on cyclic covers of the projective plane -- Arithmetically Cohen-Macaulay bundles on cubic fourfolds containing a plane -- Brauer groups on K3 surfaces and arithmetic applications -- On a local-global principle for H3 of function fields of surfaces over a finite field -- Cohomology and the Brauer group of double covers. |
| 520 | | | \a The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory. Contributors: · Nicolas Addington · Benjamin Antieau · Kenneth Ascher · Asher Auel · Fedor Bogomolov · Jean-Louis Colliot-Thélène · Krishna Dasaratha · Brendan Hassett · Colin Ingalls · Martí Lahoz · Emanuele Macrì · Kelly McKinnie · Andrew Obus · Ekin Ozman · Raman Parimala · Alexander Perry · Alena Pirutka · Justin Sawon · Alexei N. Skorobogatov · Paolo Stellari · Sho Tanimoto · Hugh Thomas · Yuri Tschinkel · Anthony Várilly-Alvarado · Bianca Viray · Rong Zhou. |
| 650 | | 0 | \a Brauer groups. |
| 650 | | 0 | \a Obstruction theory. |
| 650 | | 0 | \a Moduli theory. |
| 650 | | 7 | \a Brauer groups. \2 fast \0 (OCoLC)fst01429961 |
| 650 | | 7 | \a Moduli theory. \2 fast \0 (OCoLC)fst01024524 |
| 650 | | 7 | \a Obstruction theory. \2 fast \0 (OCoLC)fst01043031 |
| 700 | 1 | | \a Auel, Asher, \e editor. |
| 830 | | 0 | \a Progress in mathematics (Boston, Mass.) ; \v v. 320. |
| 856 | 4 | 1 | \u http://dx.doi.org/10.1007/978-3-319-46852-5 |
| 902 | | | \a jar \b m \6 a \7 m \d v \f 1 \e 20170912 |
| 904 | | | \a myt \b m \h m \c b \e 20170412 |
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