Torsors, étale homotopy and applications to rational points:
Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspecti...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Schriftenreihe: | London Mathematical Society lecture note series
405 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer–Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). - "The workshop 'Torsors: theory and applications' took place at the International Centre for Mathematical Sciences in Edinburgh from 10-14 January 2011 ... This collection contains the lecture notes of two mini-courses presented at the workshop by Jürgen Hausen and Vera Serganova, as well as the papers contributed by participants"--Preface |
| Beschreibung: | 1 online resource (ix, 459 pages) |
| ISBN: | 9781139525350 |
| DOI: | 10.1017/CBO9781139525350 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015). - "The workshop 'Torsors: theory and applications' took place at the International Centre for Mathematical Sciences in Edinburgh from 10-14 January 2011 ... This collection contains the lecture notes of two mini-courses presented at the workshop by Jürgen Hausen and Vera Serganova, as well as the papers contributed by participants"--Preface | ||
| 505 | 8 | |a Lecture notes: Three lectures on Cox rings / J. Hausen. A very brief introduction to étale homotopy / T.M. Schlank and A.N. Skorobogatov. Torsors and representation theory of reductive groups / V. Serganova -- Contributed papers: Torsors over Luna strata / I.V. Arzhantsev. Abélianisation des espaces homogènes et applications arithmétiques / C. Demarche. Gaussian rational points on a singular cubic surface / U. Derenthal and F. Janda. Actions algébriques de groupes arithmétiques / P. Gille and L. Moret-Bailly. Descent theory for open varieties / D. Harari and A.N. Skorobogatov. Homotopy obstructions to rational points / Y. Harpaz and T.M. Schlank. Factorially graded rings of complexity one / J. Hausen and E. Herppich. Nef and semiample divisors on rational surfaces / A. Laface and D. Testa. Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface / T. Preu | |
| 520 | |a Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer–Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry | ||
| 650 | 4 | |a Torsion theory (Algebra) / Congresses | |
| 650 | 4 | |a Homotopy theory / Congresses | |
| 650 | 4 | |a Rational points (Geometry) / Congresses | |
| 650 | 4 | |a Homogeneous spaces / Congresses | |
| 650 | 4 | |a Geometry, Algebraic / Congresses | |
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Datensatz im Suchindex
| _version_ | 1804176883390087168 |
|---|---|
| any_adam_object | |
| author2 | Skorobogatov, Alexei 1961- |
| author2_role | edt |
| author2_variant | a s as |
| author_facet | Skorobogatov, Alexei 1961- |
| building | Verbundindex |
| bvnumber | BV043941523 |
| classification_rvk | SK 320 |
| collection | ZDB-20-CBO |
| contents | Lecture notes: Three lectures on Cox rings / J. Hausen. A very brief introduction to étale homotopy / T.M. Schlank and A.N. Skorobogatov. Torsors and representation theory of reductive groups / V. Serganova -- Contributed papers: Torsors over Luna strata / I.V. Arzhantsev. Abélianisation des espaces homogènes et applications arithmétiques / C. Demarche. Gaussian rational points on a singular cubic surface / U. Derenthal and F. Janda. Actions algébriques de groupes arithmétiques / P. Gille and L. Moret-Bailly. Descent theory for open varieties / D. Harari and A.N. Skorobogatov. Homotopy obstructions to rational points / Y. Harpaz and T.M. Schlank. Factorially graded rings of complexity one / J. Hausen and E. Herppich. Nef and semiample divisors on rational surfaces / A. Laface and D. Testa. Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface / T. Preu |
| ctrlnum | (ZDB-20-CBO)CR9781139525350 (OCoLC)858050107 (DE-599)BVBBV043941523 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139525350 |
| format | Electronic eBook |
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| isbn | 9781139525350 |
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| spelling | Torsors, étale homotopy and applications to rational points edited by Alexei N. Skorobogatov Torsors, Étale Homotopy & Applications to Rational Points Cambridge Cambridge University Press 2013 1 online resource (ix, 459 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 405 Title from publisher's bibliographic system (viewed on 05 Oct 2015). - "The workshop 'Torsors: theory and applications' took place at the International Centre for Mathematical Sciences in Edinburgh from 10-14 January 2011 ... This collection contains the lecture notes of two mini-courses presented at the workshop by Jürgen Hausen and Vera Serganova, as well as the papers contributed by participants"--Preface Lecture notes: Three lectures on Cox rings / J. Hausen. A very brief introduction to étale homotopy / T.M. Schlank and A.N. Skorobogatov. Torsors and representation theory of reductive groups / V. Serganova -- Contributed papers: Torsors over Luna strata / I.V. Arzhantsev. Abélianisation des espaces homogènes et applications arithmétiques / C. Demarche. Gaussian rational points on a singular cubic surface / U. Derenthal and F. Janda. Actions algébriques de groupes arithmétiques / P. Gille and L. Moret-Bailly. Descent theory for open varieties / D. Harari and A.N. Skorobogatov. Homotopy obstructions to rational points / Y. Harpaz and T.M. Schlank. Factorially graded rings of complexity one / J. Hausen and E. Herppich. Nef and semiample divisors on rational surfaces / A. Laface and D. Testa. Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface / T. Preu Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer–Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry Torsion theory (Algebra) / Congresses Homotopy theory / Congresses Rational points (Geometry) / Congresses Homogeneous spaces / Congresses Geometry, Algebraic / Congresses Etalhomotopie (DE-588)4123163-6 gnd rswk-swf Torsor (DE-588)4798961-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Torsor (DE-588)4798961-0 s Etalhomotopie (DE-588)4123163-6 s 1\p DE-604 Skorobogatov, Alexei 1961- edt Erscheint auch als Druckausgabe 978-1-107-61612-7 https://doi.org/10.1017/CBO9781139525350 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Torsors, étale homotopy and applications to rational points Lecture notes: Three lectures on Cox rings / J. Hausen. A very brief introduction to étale homotopy / T.M. Schlank and A.N. Skorobogatov. Torsors and representation theory of reductive groups / V. Serganova -- Contributed papers: Torsors over Luna strata / I.V. Arzhantsev. Abélianisation des espaces homogènes et applications arithmétiques / C. Demarche. Gaussian rational points on a singular cubic surface / U. Derenthal and F. Janda. Actions algébriques de groupes arithmétiques / P. Gille and L. Moret-Bailly. Descent theory for open varieties / D. Harari and A.N. Skorobogatov. Homotopy obstructions to rational points / Y. Harpaz and T.M. Schlank. Factorially graded rings of complexity one / J. Hausen and E. Herppich. Nef and semiample divisors on rational surfaces / A. Laface and D. Testa. Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface / T. Preu Torsion theory (Algebra) / Congresses Homotopy theory / Congresses Rational points (Geometry) / Congresses Homogeneous spaces / Congresses Geometry, Algebraic / Congresses Etalhomotopie (DE-588)4123163-6 gnd Torsor (DE-588)4798961-0 gnd |
| subject_GND | (DE-588)4123163-6 (DE-588)4798961-0 (DE-588)1071861417 |
| title | Torsors, étale homotopy and applications to rational points |
| title_alt | Torsors, Étale Homotopy & Applications to Rational Points |
| title_auth | Torsors, étale homotopy and applications to rational points |
| title_exact_search | Torsors, étale homotopy and applications to rational points |
| title_full | Torsors, étale homotopy and applications to rational points edited by Alexei N. Skorobogatov |
| title_fullStr | Torsors, étale homotopy and applications to rational points edited by Alexei N. Skorobogatov |
| title_full_unstemmed | Torsors, étale homotopy and applications to rational points edited by Alexei N. Skorobogatov |
| title_short | Torsors, étale homotopy and applications to rational points |
| title_sort | torsors etale homotopy and applications to rational points |
| topic | Torsion theory (Algebra) / Congresses Homotopy theory / Congresses Rational points (Geometry) / Congresses Homogeneous spaces / Congresses Geometry, Algebraic / Congresses Etalhomotopie (DE-588)4123163-6 gnd Torsor (DE-588)4798961-0 gnd |
| topic_facet | Torsion theory (Algebra) / Congresses Homotopy theory / Congresses Rational points (Geometry) / Congresses Homogeneous spaces / Congresses Geometry, Algebraic / Congresses Etalhomotopie Torsor Konferenzschrift |
| url | https://doi.org/10.1017/CBO9781139525350 |
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