Toroidal compactification of Siegel spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1980
|
| Schriftenreihe: | Lecture notes in mathematics
812 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 162 S. |
| ISBN: | 3540100210 0387100210 |
Internformat
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| 100 | 1 | |a Namikawa, Yukihiko |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Toroidal compactification of Siegel spaces |c Yukihiko Namikawa |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1980 | |
| 300 | |a VIII, 162 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 812 | |
| 650 | 4 | |a Espaces compacts | |
| 650 | 4 | |a Espaces symétriques hermitiens | |
| 650 | 4 | |a Groupes linéaires algébriques | |
| 650 | 4 | |a Siegel, Domaines de | |
| 650 | 4 | |a Compact spaces | |
| 650 | 4 | |a Hermitian symmmetric spaces | |
| 650 | 4 | |a Linear algebraic groups | |
| 650 | 4 | |a Siegel domains | |
| 650 | 0 | 7 | |a Kompaktifizierung |0 (DE-588)4164859-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Siegel-Raum |0 (DE-588)4181229-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Toroidale Kompaktifizierung |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Siegel-Raum |0 (DE-588)4181229-3 |D s |
| 689 | 0 | 1 | |a Toroidale Kompaktifizierung |A f |
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| 689 | 1 | 1 | |a Kompaktifizierung |0 (DE-588)4164859-6 |D s |
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Datensatz im Suchindex
| _version_ | 1804116702834720768 |
|---|---|
| adam_text | Table of Contents
§1. The Siegel upperhalf plane and the symplectic group. 1
§2. Main problem and main results. 7
§3- The case of g = 1. 11
§4. Boundary components and the structure of parabolic 15
subgroups.
§5. Realization as a Siegel domain of the third kind, and 29
Satake compactification.
§6. Theory of torus embeddings. 39
§7- Toroidal compactification due to Mumford. 58
A) Construction of toroidal compactification. 58
B) Geometric properties of toroidal compactifications 70
(smoothness, projectivity, extension of holomorphic
maps).
§8. Examples: reduction theory of positive quadratic forms. 85
§9. An application of the Voronoi compactification to 95
the theory of moduli of polarized abelian varieties.
A) 2nd Voronoi reduction theory. 95
B) Mixed decomposition of fl2 x V. 100
C) Compactification of the moduli space of polarized 102
abelian varieties.
D) The extension of Torelli map. 110
Appendix: Abstract theory of bounded symmetric domains 113
(with explicit description in the case of Siegel
upperhalf plane).
I. The structure of bounded symmetric domains. 113
A) Definition and realizations. 113
B) The structure of roots of G. 119
VIII
C) The description of V in J4.+ via the Harish-Chandra 126
embedding.
II. Boundary components. 128
A) Boundary components. 128
B) The normalizer of a boundary component. 134
C) The structure of N(F). 136
D) The natural projection Ttp : V -* F. 140
E) Rational boundary components. 143
III. Realization of V as a Siegel domain of the third 144
kind.
A) The self-adjoint cone C(F) in U(F). 144
B) Realization of V as a Siegel domain. 145
C) Relation of the normalizers of adjacent boundary 152
components.
Bibliography. 153
List of notations. 156
Index. 161
|
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| author | Namikawa, Yukihiko |
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| genre | Toroidale Kompaktifizierung gnd |
| genre_facet | Toroidale Kompaktifizierung |
| id | DE-604.BV002246715 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:43Z |
| institution | BVB |
| isbn | 3540100210 0387100210 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001476475 |
| oclc_num | 6602794 |
| open_access_boolean | |
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| physical | VIII, 162 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Namikawa, Yukihiko Verfasser aut Toroidal compactification of Siegel spaces Yukihiko Namikawa Berlin [u.a.] Springer 1980 VIII, 162 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 812 Espaces compacts Espaces symétriques hermitiens Groupes linéaires algébriques Siegel, Domaines de Compact spaces Hermitian symmmetric spaces Linear algebraic groups Siegel domains Kompaktifizierung (DE-588)4164859-6 gnd rswk-swf Siegel-Raum (DE-588)4181229-3 gnd rswk-swf Toroidale Kompaktifizierung gnd rswk-swf Siegel-Raum (DE-588)4181229-3 s Toroidale Kompaktifizierung f DE-604 Kompaktifizierung (DE-588)4164859-6 s 1\p DE-604 Lecture notes in mathematics 812 (DE-604)BV000676446 812 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476475&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 | Namikawa, Yukihiko Toroidal compactification of Siegel spaces Lecture notes in mathematics Espaces compacts Espaces symétriques hermitiens Groupes linéaires algébriques Siegel, Domaines de Compact spaces Hermitian symmmetric spaces Linear algebraic groups Siegel domains Kompaktifizierung (DE-588)4164859-6 gnd Siegel-Raum (DE-588)4181229-3 gnd |
| subject_GND | (DE-588)4164859-6 (DE-588)4181229-3 |
| title | Toroidal compactification of Siegel spaces |
| title_auth | Toroidal compactification of Siegel spaces |
| title_exact_search | Toroidal compactification of Siegel spaces |
| title_full | Toroidal compactification of Siegel spaces Yukihiko Namikawa |
| title_fullStr | Toroidal compactification of Siegel spaces Yukihiko Namikawa |
| title_full_unstemmed | Toroidal compactification of Siegel spaces Yukihiko Namikawa |
| title_short | Toroidal compactification of Siegel spaces |
| title_sort | toroidal compactification of siegel spaces |
| topic | Espaces compacts Espaces symétriques hermitiens Groupes linéaires algébriques Siegel, Domaines de Compact spaces Hermitian symmmetric spaces Linear algebraic groups Siegel domains Kompaktifizierung (DE-588)4164859-6 gnd Siegel-Raum (DE-588)4181229-3 gnd |
| topic_facet | Espaces compacts Espaces symétriques hermitiens Groupes linéaires algébriques Siegel, Domaines de Compact spaces Hermitian symmmetric spaces Linear algebraic groups Siegel domains Kompaktifizierung Siegel-Raum Toroidale Kompaktifizierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476475&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT namikawayukihiko toroidalcompactificationofsiegelspaces |