Toroidal compactification of Siegel spaces
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1980
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| Schriftenreihe: | Lecture notes in mathematics
812 |
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| Online-Zugang: | Inhaltsverzeichnis |
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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 | 0 | |a Siegel-Raum |0 (DE-588)4181229-3 |D s |
| 689 | 1 | 1 | |a Kompaktifizierung |0 (DE-588)4164859-6 |D s |
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Datensatz im Suchindex
| DE-19_call_number | 1601/SI 850-812 |
|---|---|
| DE-19_location | 95 |
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999 |
| DE-BY-TUM_katkey | 354458 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020164621 |
| DE-BY-UBM_katkey | 2199681 |
| DE-BY-UBM_media_number | 41601507530019 |
| DE-BY-UBR_call_number | 80/SI 850 |
| DE-BY-UBR_katkey | 474038 |
| DE-BY-UBR_location | 80 |
| DE-BY-UBR_media_number | 069008386013 |
| _version_ | 1823051860993376256 |
| 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
|
| any_adam_object | 1 |
| author | Namikawa, Yukihiko |
| author_facet | Namikawa, Yukihiko |
| author_role | aut |
| author_sort | Namikawa, Yukihiko |
| author_variant | y n yn |
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| bvnumber | BV002246715 |
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| dewey-full | 515 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515 510 |
| dewey-search | 515 510 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Toroidale Kompaktifizierung gnd |
| genre_facet | Toroidale Kompaktifizierung |
| id | DE-604.BV002246715 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T16:44:36Z |
| institution | BVB |
| isbn | 3540100210 0387100210 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001476475 |
| oclc_num | 6602794 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-703 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-29T DE-706 DE-83 DE-11 DE-188 DE-824 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-703 DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-29T DE-706 DE-83 DE-11 DE-188 DE-824 |
| 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 |
| 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 |