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04159nam a22005295i 4500 |
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|a 9783319468525
|9 978-3-319-46852-5
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|a 10.1007/978-3-319-46852-5
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|a Brauer Groups and Obstruction Problems
|h [electronic resource] :
|b Moduli Spaces and Arithmetic /
|c edited by Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray.
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| 250 |
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|a 1st ed. 2017.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Birkhäuser,
|c 2017.
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| 300 |
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|a IX, 247 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Progress in Mathematics,
|x 0743-1643 ;
|v 320
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|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.
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|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.
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|a Algebraic geometry.
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|a Number theory.
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|a Algebraic Geometry.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M11019
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|a Number Theory.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M25001
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| 700 |
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|a Auel, Asher.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
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|a Hassett, Brendan.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
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|a Várilly-Alvarado, Anthony.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
1 |
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|a Viray, Bianca.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer Nature eBook
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| 776 |
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|i Printed edition:
|z 9783319468518
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| 776 |
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|i Printed edition:
|z 9783319468532
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783319836010
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| 830 |
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|a Progress in Mathematics,
|x 0743-1643 ;
|v 320
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-319-46852-5
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-SXMS
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| 950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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| 950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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