Moduli of Curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1998
|
| Schriftenreihe: | Graduate Texts in Mathematics
187 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Aims The aim of this book is to provide a guide to a rich and fascinating subject: algebraic curves, and how they vary in families. The revolution that the field of algebraic geometry has undergone with the introduction of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others, have made it possible for us to understand the behavior of curves in ways that simply were not possible a half-century ago. This in turn has led, over the last few decades, to a burst of activity in the area, resolving long-standing problems and generating new and unforeseen results and questions. We hope to acquaint you both with these results and with the ideas that have made them possible. The book isn't intended to be a definitive reference: the subject is developing too rapidly for that to be a feasible goal, even if we had the expertise necessary for the task. Our preference has been to focus on examples and applications rather than on foundations. When discussing techniques we've chosen to sacrifice proofs of some, even basic, results —particularly where we can provide a good reference— in order to show how the methods are used to study moduli of curves. Likewise, we often prove results in special cases which we feel bring out the important ideas with a minimum of technical complication |
| Beschreibung: | 1 Online-Ressource (XIII, 369 p) |
| ISBN: | 9780387227375 9780387984384 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/b98867 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Harris, Joe |
| author_facet | Harris, Joe |
| author_role | aut |
| author_sort | Harris, Joe |
| author_variant | j h jh |
| building | Verbundindex |
| bvnumber | BV042419092 |
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| ctrlnum | (OCoLC)704451603 (DE-599)BVBBV042419092 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/b98867 |
| format | Electronic eBook |
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| id | DE-604.BV042419092 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780387227375 9780387984384 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854509 |
| oclc_num | 704451603 |
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| physical | 1 Online-Ressource (XIII, 369 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1998 |
| publishDateSearch | 1998 |
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| publisher | Springer New York |
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| series | Graduate Texts in Mathematics |
| series2 | Graduate Texts in Mathematics |
| spelling | Harris, Joe Verfasser aut Moduli of Curves by Joe Harris, Ian Morrison New York, NY Springer New York 1998 1 Online-Ressource (XIII, 369 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 187 0072-5285 Aims The aim of this book is to provide a guide to a rich and fascinating subject: algebraic curves, and how they vary in families. The revolution that the field of algebraic geometry has undergone with the introduction of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others, have made it possible for us to understand the behavior of curves in ways that simply were not possible a half-century ago. This in turn has led, over the last few decades, to a burst of activity in the area, resolving long-standing problems and generating new and unforeseen results and questions. We hope to acquaint you both with these results and with the ideas that have made them possible. The book isn't intended to be a definitive reference: the subject is developing too rapidly for that to be a feasible goal, even if we had the expertise necessary for the task. Our preference has been to focus on examples and applications rather than on foundations. When discussing techniques we've chosen to sacrifice proofs of some, even basic, results —particularly where we can provide a good reference— in order to show how the methods are used to study moduli of curves. Likewise, we often prove results in special cases which we feel bring out the important ideas with a minimum of technical complication Mathematics Geometry, algebraic Algebraic Geometry Mathematik Modulitheorie (DE-588)4203418-8 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 s Modulitheorie (DE-588)4203418-8 s 1\p DE-604 Morrison, Ian Sonstige oth Graduate Texts in Mathematics 187 (DE-604)BV035421258 187 https://doi.org/10.1007/b98867 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Harris, Joe Moduli of Curves Graduate Texts in Mathematics Mathematics Geometry, algebraic Algebraic Geometry Mathematik Modulitheorie (DE-588)4203418-8 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| subject_GND | (DE-588)4203418-8 (DE-588)4001165-3 |
| title | Moduli of Curves |
| title_auth | Moduli of Curves |
| title_exact_search | Moduli of Curves |
| title_full | Moduli of Curves by Joe Harris, Ian Morrison |
| title_fullStr | Moduli of Curves by Joe Harris, Ian Morrison |
| title_full_unstemmed | Moduli of Curves by Joe Harris, Ian Morrison |
| title_short | Moduli of Curves |
| title_sort | moduli of curves |
| topic | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Modulitheorie (DE-588)4203418-8 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Modulitheorie Algebraische Kurve |
| url | https://doi.org/10.1007/b98867 |
| volume_link | (DE-604)BV035421258 |
| work_keys_str_mv | AT harrisjoe moduliofcurves AT morrisonian moduliofcurves |