Arithmetic Algebraic Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1991
|
| Schriftenreihe: | Progress in Mathematics
89 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Inspired by these exciting developments, the editors organized a meeting at Texel in 1989 and invited a number of mathematicians to write papers for this volume. Some of these papers were presented at the meeting; others arose from the discussions that took place. They were all chosen for their quality and relevance to the application of algebraic geometry to arithmetic problems. Topics include: arithmetic surfaces, Chjerm functors, modular curves and modular varieties, elliptic curves, Kolyvagin’s work, K-theory and Galois representations. Besides the research papers, there is a letter of Parshin and a paper of Zagier with is interpretations of the Birch-Swinnerton-Dyer Conjecture. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection |
| Beschreibung: | 1 Online-Ressource (X, 444 p) |
| ISBN: | 9781461204572 9781461267690 |
| DOI: | 10.1007/978-1-4612-0457-2 |
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| 500 | |a Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Inspired by these exciting developments, the editors organized a meeting at Texel in 1989 and invited a number of mathematicians to write papers for this volume. Some of these papers were presented at the meeting; others arose from the discussions that took place. They were all chosen for their quality and relevance to the application of algebraic geometry to arithmetic problems. Topics include: arithmetic surfaces, Chjerm functors, modular curves and modular varieties, elliptic curves, Kolyvagin’s work, K-theory and Galois representations. Besides the research papers, there is a letter of Parshin and a paper of Zagier with is interpretations of the Birch-Swinnerton-Dyer Conjecture. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0457-2 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461204572 9781461267690 |
| language | English |
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| publishDate | 1991 |
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| spelling | Geer, G. Verfasser aut Arithmetic Algebraic Geometry edited by G. Geer, F. Oort, J. Steenbrink Boston, MA Birkhäuser Boston 1991 1 Online-Ressource (X, 444 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 89 Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Inspired by these exciting developments, the editors organized a meeting at Texel in 1989 and invited a number of mathematicians to write papers for this volume. Some of these papers were presented at the meeting; others arose from the discussions that took place. They were all chosen for their quality and relevance to the application of algebraic geometry to arithmetic problems. Topics include: arithmetic surfaces, Chjerm functors, modular curves and modular varieties, elliptic curves, Kolyvagin’s work, K-theory and Galois representations. Besides the research papers, there is a letter of Parshin and a paper of Zagier with is interpretations of the Birch-Swinnerton-Dyer Conjecture. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection Mathematics Algebra Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Oort, F. Sonstige oth Steenbrink, J. Sonstige oth https://doi.org/10.1007/978-1-4612-0457-2 Verlag Volltext |
| spellingShingle | Geer, G. Arithmetic Algebraic Geometry Mathematics Algebra Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik |
| title | Arithmetic Algebraic Geometry |
| title_auth | Arithmetic Algebraic Geometry |
| title_exact_search | Arithmetic Algebraic Geometry |
| title_full | Arithmetic Algebraic Geometry edited by G. Geer, F. Oort, J. Steenbrink |
| title_fullStr | Arithmetic Algebraic Geometry edited by G. Geer, F. Oort, J. Steenbrink |
| title_full_unstemmed | Arithmetic Algebraic Geometry edited by G. Geer, F. Oort, J. Steenbrink |
| title_short | Arithmetic Algebraic Geometry |
| title_sort | arithmetic algebraic geometry |
| topic | Mathematics Algebra Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik |
| topic_facet | Mathematics Algebra Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik |
| url | https://doi.org/10.1007/978-1-4612-0457-2 |
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