Riemann-Roch algebra:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1985
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
277 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 203 S. graph. Darst. |
| ISBN: | 0387960864 3540960864 |
Internformat
MARC
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| 100 | 1 | |a Fulton, William |d 1939- |e Verfasser |0 (DE-588)136272541 |4 aut | |
| 245 | 1 | 0 | |a Riemann-Roch algebra |c William Fulton ; Serge Lang |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1985 | |
| 300 | |a X, 203 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften |v 277 | |
| 650 | 4 | |a Algebraische Geometrie - Riemann-Roch-Satz | |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemannsche Geometrie |0 (DE-588)4128462-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemann-Roch-Satz |0 (DE-588)4288348-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Riemann-Roch-Satz |0 (DE-588)4288348-9 |D s |
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| 689 | 1 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
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| 689 | 2 | 0 | |a Riemannsche Geometrie |0 (DE-588)4128462-8 |D s |
| 689 | 2 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Lang, Serge |d 1927-2005 |e Verfasser |0 (DE-588)119305119 |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-000186699 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804114770322784256 |
|---|---|
| adam_text | Contents
Introduction vii
CHAPTER I
A Rings and Chern Classes 1
§1. 1 Rings with Positive Structure 3
§2. An Elementary Extension of A Rings 7
§3. Chern Classes and the Splitting Principle 11
§4. Chern Character and Todd Classes 17
§5. Involutions 20
§6. Adams Operations 23
CHAPTER II
Riemann Roch Formalism 26
§1. Riemann Roch Functors 27
§2. Grothendieck Riemann Roch for Elementary Imbeddings and
Projections 32
§3. Adams Riemann Roch for Elementary Imbeddings and Projections . . 37
§4. An Integral Riemann Roch Formula 43
CHAPTER III
Grothendieck Filtration and Graded K 47
§1. The 7 Filtration : 47
§2. Graded K and Chern Classes 54
§3. Adams Operations and the Filtration 58
§4. An Equivalence Between Adams and Grothendieck Riemann Roch
Theorems 62
CHAPTER IV
Local Complete Intersections 66
§1. Vector Bundles and Projective Bundles 66
§2. The Koszul Complex and Regular Imbeddings 70
§3. Regular Imbeddings and Morphisms 77
§4. Blowing Up 91
§5. Deformation to the Normal Bundle 96
Vi CONTENTS
CHAPTER V
The K functor in Algebraic Geometry 100
§1. The A Ring K(X) 102
§2. Sheaves on Projective Bundles 104
§3. Grothendieck and Topological Filtrations 118
§4. Resolutions and Regular Imbeddings 126
§5. The K Functor of Regular Morphisms 134
§6. Adams Riemann Roch for Imbeddings 141
§7. The Riemann Roch Theorems 144
Appendix. Non connected Schemes 149
CHAPTER VI
An Intersection Formula. Variations and Generalizations 151
§1. The Intersection Formula • 152
§2. Proof of the Intersection Formula 157
§3. Upper and Lower K 164
§4. K of a Blow Up 169
§5. Upper and Lower Filtrations 178
§6. The Contra variant Maps fK and fG 184
§7. Singular Riemann Roch • 188
§8. The Complex Case 190
§9. Lefschetz Riemann Roch 192
References 197
Index of Notations 199
Index 201
|
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| author | Fulton, William 1939- Lang, Serge 1927-2005 |
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| author_facet | Fulton, William 1939- Lang, Serge 1927-2005 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.33 |
| dewey-search | 512.33 |
| dewey-sort | 3512.33 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:12:00Z |
| institution | BVB |
| isbn | 0387960864 3540960864 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000186699 |
| oclc_num | 246633437 |
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| physical | X, 203 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer |
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| series | Grundlehren der mathematischen Wissenschaften |
| series2 | Grundlehren der mathematischen Wissenschaften |
| spelling | Fulton, William 1939- Verfasser (DE-588)136272541 aut Riemann-Roch algebra William Fulton ; Serge Lang New York [u.a.] Springer 1985 X, 203 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Grundlehren der mathematischen Wissenschaften 277 Algebraische Geometrie - Riemann-Roch-Satz Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemann-Roch-Satz (DE-588)4288348-9 gnd rswk-swf Riemann-Roch-Satz (DE-588)4288348-9 s DE-604 Algebraische Geometrie (DE-588)4001161-6 s Riemannsche Geometrie (DE-588)4128462-8 s 1\p DE-604 Lang, Serge 1927-2005 Verfasser (DE-588)119305119 aut Grundlehren der mathematischen Wissenschaften 277 (DE-604)BV000000395 277 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000186699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fulton, William 1939- Lang, Serge 1927-2005 Riemann-Roch algebra Grundlehren der mathematischen Wissenschaften Algebraische Geometrie - Riemann-Roch-Satz Algebraische Geometrie (DE-588)4001161-6 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd Riemann-Roch-Satz (DE-588)4288348-9 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4128462-8 (DE-588)4288348-9 |
| title | Riemann-Roch algebra |
| title_auth | Riemann-Roch algebra |
| title_exact_search | Riemann-Roch algebra |
| title_full | Riemann-Roch algebra William Fulton ; Serge Lang |
| title_fullStr | Riemann-Roch algebra William Fulton ; Serge Lang |
| title_full_unstemmed | Riemann-Roch algebra William Fulton ; Serge Lang |
| title_short | Riemann-Roch algebra |
| title_sort | riemann roch algebra |
| topic | Algebraische Geometrie - Riemann-Roch-Satz Algebraische Geometrie (DE-588)4001161-6 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd Riemann-Roch-Satz (DE-588)4288348-9 gnd |
| topic_facet | Algebraische Geometrie - Riemann-Roch-Satz Algebraische Geometrie Riemannsche Geometrie Riemann-Roch-Satz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000186699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000395 |
| work_keys_str_mv | AT fultonwilliam riemannrochalgebra AT langserge riemannrochalgebra |