Algebraic and analytic geometry:
This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | London Mathematical Society lecture note series
345 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 420 pages) |
| ISBN: | 9780511800443 |
| DOI: | 10.1017/CBO9780511800443 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Foreword -- 1. Introduction -- 2. Manifolds -- 3. Schemes -- 4. The complex topology -- 5. The analytification of a scheme -- 6. The high road to analytification -- 7. Coherent sheaves -- 8. Projective space -- the statements -- 9. Projective space -- the proofs -- 10. The proof of GAGA -- Appendix. The proofs concerning analytification; Bibliography -- Glossary -- Index | |
| 520 | |a This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University | ||
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Datensatz im Suchindex
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| author | Neeman, Amnon |
| author_facet | Neeman, Amnon |
| author_role | aut |
| author_sort | Neeman, Amnon |
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| building | Verbundindex |
| bvnumber | BV043940617 |
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| contents | Foreword -- 1. Introduction -- 2. Manifolds -- 3. Schemes -- 4. The complex topology -- 5. The analytification of a scheme -- 6. The high road to analytification -- 7. Coherent sheaves -- 8. Projective space -- the statements -- 9. Projective space -- the proofs -- 10. The proof of GAGA -- Appendix. The proofs concerning analytification; Bibliography -- Glossary -- Index |
| ctrlnum | (ZDB-20-CBO)CR9780511800443 (OCoLC)850570692 (DE-599)BVBBV043940617 |
| dewey-full | 516.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3 |
| dewey-search | 516.3 |
| dewey-sort | 3516.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511800443 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9780511800443 |
| language | English |
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| spelling | Neeman, Amnon Verfasser aut Algebraic and analytic geometry Amnon Neeman Algebraic & Analytic Geometry Cambridge Cambridge University Press 2007 1 online resource (xii, 420 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 345 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Foreword -- 1. Introduction -- 2. Manifolds -- 3. Schemes -- 4. The complex topology -- 5. The analytification of a scheme -- 6. The high road to analytification -- 7. Coherent sheaves -- 8. Projective space -- the statements -- 9. Projective space -- the proofs -- 10. The proof of GAGA -- Appendix. The proofs concerning analytification; Bibliography -- Glossary -- Index This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University Geometry, Algebraic Geometry, Analytic Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Algebraische Geometrie (DE-588)4001161-6 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-70983-5 https://doi.org/10.1017/CBO9780511800443 Verlag URL des Erstveröffentlichers 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 | Neeman, Amnon Algebraic and analytic geometry Foreword -- 1. Introduction -- 2. Manifolds -- 3. Schemes -- 4. The complex topology -- 5. The analytification of a scheme -- 6. The high road to analytification -- 7. Coherent sheaves -- 8. Projective space -- the statements -- 9. Projective space -- the proofs -- 10. The proof of GAGA -- Appendix. The proofs concerning analytification; Bibliography -- Glossary -- Index Geometry, Algebraic Geometry, Analytic Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4151278-9 |
| title | Algebraic and analytic geometry |
| title_alt | Algebraic & Analytic Geometry |
| title_auth | Algebraic and analytic geometry |
| title_exact_search | Algebraic and analytic geometry |
| title_full | Algebraic and analytic geometry Amnon Neeman |
| title_fullStr | Algebraic and analytic geometry Amnon Neeman |
| title_full_unstemmed | Algebraic and analytic geometry Amnon Neeman |
| title_short | Algebraic and analytic geometry |
| title_sort | algebraic and analytic geometry |
| topic | Geometry, Algebraic Geometry, Analytic Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Geometry, Algebraic Geometry, Analytic Algebraische Geometrie Einführung |
| url | https://doi.org/10.1017/CBO9780511800443 |
| work_keys_str_mv | AT neemanamnon algebraicandanalyticgeometry AT neemanamnon algebraicanalyticgeometry |