Cohomology of quotients in symplectic and algebraic geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton Univ. Press
1984
|
| Schriftenreihe: | Mathematical notes
31 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 210 S. |
| ISBN: | 0691083703 |
Internformat
MARC
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| 100 | 1 | |a Kirwan, Frances C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Cohomology of quotients in symplectic and algebraic geometry |c by Frances Clare Kirwan |
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1984 | |
| 300 | |a 210 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Mathematical notes |v 31 | |
| 650 | 4 | |a Algebraic varieties | |
| 650 | 4 | |a Group schemes (Mathematics) | |
| 650 | 4 | |a Homology theory | |
| 650 | 4 | |a Symplectic manifolds | |
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| 655 | 7 | |a Quotientenkohomologie |2 gnd |9 rswk-swf | |
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| 689 | 4 | 1 | |a Quotientenkohomologie |A f |
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Datensatz im Suchindex
| _version_ | 1804114916649467904 |
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| adam_text | Contents
§1. Introduction. 1
Part I. The symplectic approach.
§2. The moment map. 21
§3. Critical points for the square of the moment map. 35
§4. The square of the moment map as a Morse function. 44
§5. Cohomological formulae. 62
§6. Complex group actions on Kahler manifolds. 79
§7. Quotients of Kahler manifolds. 95
§8. The relationship with geometric invariant theory. 102
§9. Some remarks on non compact manifolds. 115
§10. Appendix. Morse theory extended to minimally 121
degenerate functions.
Part II. The algebraic approach.
§11. The basic idea. 138
§12. Stratifications over arbitrary algebraically closed fields. 143
§13. The strata of a nonsingular variety. 159
§14. Hodge numbers. 167
§15. Calculating cohomology by counting points. 176
§16. Examples. 189
References. 208
|
| any_adam_object | 1 |
| author | Kirwan, Frances C. |
| author_facet | Kirwan, Frances C. |
| author_role | aut |
| author_sort | Kirwan, Frances C. |
| author_variant | f c k fc fck |
| building | Verbundindex |
| bvnumber | BV000463473 |
| callnumber-first | Q - Science |
| callnumber-label | QA564 |
| callnumber-raw | QA564 |
| callnumber-search | QA564 |
| callnumber-sort | QA 3564 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 870 SK 240 |
| classification_tum | MAT 143f |
| ctrlnum | (OCoLC)10997846 (DE-599)BVBBV000463473 |
| dewey-full | 512/.33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.33 |
| dewey-search | 512/.33 |
| dewey-sort | 3512 233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Quotientenhomologie gnd Quotientenkohomologie gnd |
| genre_facet | Quotientenhomologie Quotientenkohomologie |
| id | DE-604.BV000463473 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:14:19Z |
| institution | BVB |
| isbn | 0691083703 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000285445 |
| oclc_num | 10997846 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-19 DE-BY-UBM DE-83 DE-11 |
| physical | 210 S. |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Mathematical notes |
| series2 | Mathematical notes |
| spelling | Kirwan, Frances C. Verfasser aut Cohomology of quotients in symplectic and algebraic geometry by Frances Clare Kirwan Princeton, NJ Princeton Univ. Press 1984 210 S. txt rdacontent n rdamedia nc rdacarrier Mathematical notes 31 Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Quotient (DE-588)4312649-2 gnd rswk-swf Symplektische Geometrie (DE-588)4194232-2 gnd rswk-swf Projektive Mannigfaltigkeit (DE-588)4175888-2 gnd rswk-swf Quotientenhomologie gnd rswk-swf Quotientenkohomologie gnd rswk-swf Quotient (DE-588)4312649-2 s Projektive Mannigfaltigkeit (DE-588)4175888-2 s DE-604 Algebraische Geometrie (DE-588)4001161-6 s Quotientenhomologie f Symplektische Geometrie (DE-588)4194232-2 s Quotientenkohomologie f Mathematical notes 31 (DE-604)BV000003793 31 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000285445&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kirwan, Frances C. Cohomology of quotients in symplectic and algebraic geometry Mathematical notes Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds Algebraische Geometrie (DE-588)4001161-6 gnd Quotient (DE-588)4312649-2 gnd Symplektische Geometrie (DE-588)4194232-2 gnd Projektive Mannigfaltigkeit (DE-588)4175888-2 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4312649-2 (DE-588)4194232-2 (DE-588)4175888-2 |
| title | Cohomology of quotients in symplectic and algebraic geometry |
| title_auth | Cohomology of quotients in symplectic and algebraic geometry |
| title_exact_search | Cohomology of quotients in symplectic and algebraic geometry |
| title_full | Cohomology of quotients in symplectic and algebraic geometry by Frances Clare Kirwan |
| title_fullStr | Cohomology of quotients in symplectic and algebraic geometry by Frances Clare Kirwan |
| title_full_unstemmed | Cohomology of quotients in symplectic and algebraic geometry by Frances Clare Kirwan |
| title_short | Cohomology of quotients in symplectic and algebraic geometry |
| title_sort | cohomology of quotients in symplectic and algebraic geometry |
| topic | Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds Algebraische Geometrie (DE-588)4001161-6 gnd Quotient (DE-588)4312649-2 gnd Symplektische Geometrie (DE-588)4194232-2 gnd Projektive Mannigfaltigkeit (DE-588)4175888-2 gnd |
| topic_facet | Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds Algebraische Geometrie Quotient Symplektische Geometrie Projektive Mannigfaltigkeit Quotientenhomologie Quotientenkohomologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000285445&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003793 |
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