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 perspect...
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| Weitere Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English French |
| Veröffentlicht: |
Camdridge, UK ; New York :
Cambridge University Press,
2013.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
405. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| 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: | 1 online resource (ix, 459 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781107250550 1107250552 9781139525350 1139525352 9781107241886 110724188X 9781107248892 1107248892 1139891936 9781139891936 1107251389 9781107251380 1107249724 9781107249721 |
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| 505 | 0 | |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. | |
| 588 | 0 | |a Print version record. | |
| 546 | |a Chiefly in English, with two papers in French. | ||
| 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 | 0 | |a Homotopy groups |v Congresses. | |
| 650 | 0 | |a Homotopy theory |v Congresses. | |
| 650 | 0 | |a Rational points (Geometry) |v Congresses. | |
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| 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. |
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| genre | Conference papers and proceedings fast Congressen (vorm) gtt (NL-LeOCL)088142469 |
| genre_facet | Conference papers and proceedings Congressen (vorm) |
| id | ZDB-4-EBA-ocn849935301 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:24Z |
| institution | BVB |
| isbn | 9781107250550 1107250552 9781139525350 1139525352 9781107241886 110724188X 9781107248892 1107248892 1139891936 9781139891936 1107251389 9781107251380 1107249724 9781107249721 |
| language | English French |
| oclc_num | 849935301 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 459 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Torsors, étale homotopy and applications to rational points / edited by Alexei N. Skorobogatov. Camdridge, UK ; New York : Cambridge University Press, 2013. 1 online resource (ix, 459 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file London Mathematical Society lecture note series ; 405 Includes bibliographical references. 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. Print version record. Chiefly in English, with two papers in French. 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. Homotopy groups Congresses. Homotopy theory Congresses. Rational points (Geometry) Congresses. Homogeneous spaces Congresses. Geometry, Algebraic Congresses. Groupes d'homotopie Congrès. Homotopie Congrès. Points rationnels (Géométrie) Congrès. Espaces homogènes Congrès. Géométrie algébrique Congrès. MATHEMATICS Algebra Intermediate. bisacsh Geometría algebraica embne Homotopía embne Espacios homogéneos embne Geometry, Algebraic fast Homogeneous spaces fast Homotopy groups fast Homotopy theory fast Rational points (Geometry) fast Conference papers and proceedings fast Congressen (vorm) gtt (NL-LeOCL)088142469 Skorobogatov, Alexei, 1961- https://id.oclc.org/worldcat/entity/E39PBJh8JRMc9pF8B7cHd6Dcyd http://id.loc.gov/authorities/names/n2001006709 has work: Torsors, étale homotopy and applications to rational points (Text) https://id.oclc.org/worldcat/entity/E39PCFJhCwfrRTvf9Xt49gHgrq https://id.oclc.org/worldcat/ontology/hasWork Print version: Torsors, étale homotopy and applications to rational points. Camdridge, UK ; New York : Cambridge University Press, 2013 9781107616127 (OCoLC)840132391 London Mathematical Society lecture note series ; 405. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=574875 Volltext |
| spellingShingle | Torsors, étale homotopy and applications to rational points / London Mathematical Society lecture note series ; 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. Homotopy groups Congresses. Homotopy theory Congresses. Rational points (Geometry) Congresses. Homogeneous spaces Congresses. Geometry, Algebraic Congresses. Groupes d'homotopie Congrès. Homotopie Congrès. Points rationnels (Géométrie) Congrès. Espaces homogènes Congrès. Géométrie algébrique Congrès. MATHEMATICS Algebra Intermediate. bisacsh Geometría algebraica embne Homotopía embne Espacios homogéneos embne Geometry, Algebraic fast Homogeneous spaces fast Homotopy groups fast Homotopy theory fast Rational points (Geometry) fast |
| subject_GND | (NL-LeOCL)088142469 |
| title | Torsors, étale homotopy and 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 | Homotopy groups Congresses. Homotopy theory Congresses. Rational points (Geometry) Congresses. Homogeneous spaces Congresses. Geometry, Algebraic Congresses. Groupes d'homotopie Congrès. Homotopie Congrès. Points rationnels (Géométrie) Congrès. Espaces homogènes Congrès. Géométrie algébrique Congrès. MATHEMATICS Algebra Intermediate. bisacsh Geometría algebraica embne Homotopía embne Espacios homogéneos embne Geometry, Algebraic fast Homogeneous spaces fast Homotopy groups fast Homotopy theory fast Rational points (Geometry) fast |
| topic_facet | Homotopy groups Congresses. Homotopy theory Congresses. Rational points (Geometry) Congresses. Homogeneous spaces Congresses. Geometry, Algebraic Congresses. Groupes d'homotopie Congrès. Homotopie Congrès. Points rationnels (Géométrie) Congrès. Espaces homogènes Congrès. Géométrie algébrique Congrès. MATHEMATICS Algebra Intermediate. Geometría algebraica Homotopía Espacios homogéneos Geometry, Algebraic Homogeneous spaces Homotopy groups Homotopy theory Rational points (Geometry) Conference papers and proceedings Congressen (vorm) |
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