Arithmetic of Higher-Dimensional Algebraic Varieties:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser Boston
2004
|
| Edition: | 1 |
| Series: | Progress in Mathematics
226 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. This text, which focuses on higher-dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. Contributors: Batyrev, V.V.; Broberg, N.; Colliot-Thélène, J-L.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; Heath-Brown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; Swinnerton-Dyer, P.; Takloo-Bighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O. |
| Physical Description: | 1 Online-Ressource (XVI, 287 p) |
| ISBN: | 9780817681708 9781461264712 |
| DOI: | 10.1007/978-0-8176-8170-8 |
Staff View
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| 500 | |a One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. This text, which focuses on higher-dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. Contributors: Batyrev, V.V.; Broberg, N.; Colliot-Thélène, J-L.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; Heath-Brown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; Swinnerton-Dyer, P.; Takloo-Bighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O. | ||
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Record in the Search Index
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| spelling | Poonen, Björn Verfasser aut Arithmetic of Higher-Dimensional Algebraic Varieties edited by Björn Poonen, Yuri Tschinkel 1 Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (XVI, 287 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 226 One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. This text, which focuses on higher-dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. Contributors: Batyrev, V.V.; Broberg, N.; Colliot-Thélène, J-L.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; Heath-Brown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; Swinnerton-Dyer, P.; Takloo-Bighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O. Mathematics Geometry, algebraic Field theory (Physics) Differential equations, partial Number theory Number Theory Algebraic Geometry Field Theory and Polynomials Several Complex Variables and Analytic Spaces Mathematik Dimension n (DE-588)4309313-9 gnd rswk-swf Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Algebraische Mannigfaltigkeit (DE-588)4128509-8 s Dimension n (DE-588)4309313-9 s 2\p DE-604 Tschinkel, Yuri Sonstige oth https://doi.org/10.1007/978-0-8176-8170-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Poonen, Björn Arithmetic of Higher-Dimensional Algebraic Varieties Mathematics Geometry, algebraic Field theory (Physics) Differential equations, partial Number theory Number Theory Algebraic Geometry Field Theory and Polynomials Several Complex Variables and Analytic Spaces Mathematik Dimension n (DE-588)4309313-9 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd |
| subject_GND | (DE-588)4309313-9 (DE-588)4128509-8 (DE-588)4143413-4 |
| title | Arithmetic of Higher-Dimensional Algebraic Varieties |
| title_auth | Arithmetic of Higher-Dimensional Algebraic Varieties |
| title_exact_search | Arithmetic of Higher-Dimensional Algebraic Varieties |
| title_full | Arithmetic of Higher-Dimensional Algebraic Varieties edited by Björn Poonen, Yuri Tschinkel |
| title_fullStr | Arithmetic of Higher-Dimensional Algebraic Varieties edited by Björn Poonen, Yuri Tschinkel |
| title_full_unstemmed | Arithmetic of Higher-Dimensional Algebraic Varieties edited by Björn Poonen, Yuri Tschinkel |
| title_short | Arithmetic of Higher-Dimensional Algebraic Varieties |
| title_sort | arithmetic of higher dimensional algebraic varieties |
| topic | Mathematics Geometry, algebraic Field theory (Physics) Differential equations, partial Number theory Number Theory Algebraic Geometry Field Theory and Polynomials Several Complex Variables and Analytic Spaces Mathematik Dimension n (DE-588)4309313-9 gnd Algebraische Mannigfaltigkeit (DE-588)4128509-8 gnd |
| topic_facet | Mathematics Geometry, algebraic Field theory (Physics) Differential equations, partial Number theory Number Theory Algebraic Geometry Field Theory and Polynomials Several Complex Variables and Analytic Spaces Mathematik Dimension n Algebraische Mannigfaltigkeit Aufsatzsammlung |
| url | https://doi.org/10.1007/978-0-8176-8170-8 |
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