Holdings: Cohomology of quotients in symplectic and algebraic geometry

Cohomology of quotients in symplectic and algebraic geometry:

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Bibliographic Details
Main Author:	Kirwan, Frances C. (Author)
Format:	Book
Language:	English
Published:	Princeton, NJ Princeton Univ. Press 1984
Series:	Mathematical notes 31
Subjects:	Algebraic varieties Group schemes (Mathematics) Homology theory Symplectic manifolds Algebraische Geometrie Quotient Symplektische Geometrie Projektive Mannigfaltigkeit Quotientenhomologie Quotientenkohomologie
Online Access:	Inhaltsverzeichnis
Physical Description:	210 S.
ISBN:	0691083703

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MARC


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Record in the Search Index

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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.
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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
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physical	210 S.
publishDate	1984
publishDateSearch	1984
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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
work_keys_str_mv	AT kirwanfrancesc cohomologyofquotientsinsymplecticandalgebraicgeometry

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