The moment-weight inequality and the Hilbert-Mumford criterion: GIT from the differential geometric viewpoint
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer
[2021]
|
| Schriftenreihe: | Lecture notes in mathematics
Volume 2297 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverzeichnis: Seite 185-188 This Springer imprint is published by the registered company Springer Nature Switzerland AG |
| Beschreibung: | vii, 190 Seiten 24 cm |
| ISBN: | 9783030892999 |
Internformat
MARC
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| 100 | 1 | |a Georgoulas, Valentina Maria |d 1978- |0 (DE-588)1119825954 |4 aut | |
| 245 | 1 | 0 | |a The moment-weight inequality and the Hilbert-Mumford criterion |b GIT from the differential geometric viewpoint |c Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon |
| 264 | 1 | |a Cham |b Springer |c [2021] | |
| 300 | |a vii, 190 Seiten |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in mathematics |v Volume 2297 | |
| 500 | |a Literaturverzeichnis: Seite 185-188 | ||
| 500 | |a This Springer imprint is published by the registered company Springer Nature Switzerland AG | ||
| 700 | 1 | |a Robbin, Joel W. |d 1941- |0 (DE-588)105369041X |4 aut | |
| 700 | 1 | |a Salamon, Dietmar |d 1953- |0 (DE-588)1015895271 |4 aut | |
| 710 | 2 | |a Springer International Publishing |0 (DE-588)1064344704 |4 pbl | |
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Datensatz im Suchindex
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| adam_text | Valentina Georgoulas * Joel W Robbin ®
Dietmar Arno Salamon
The Moment-Weight
Inequality
and the Hilbert-Mumford
Criterion
GIT from the Differential Geometric
Viewpoint
A Springer
Contents
1 Introduction -- --uusssessnanussnnnnuenunsnnesnennsansensannansennn 1
2 The Moment Map --r2essnnneneennnensenneenssnssenunsnennnnnn 7
3 The Moment Map Squared rssssscnsnsansesennensnnnenesseren 13
4 The Kempf-Ness Function ussseseseeserssnennenennensnensone 19
5 g-Weights u osceeneernenenenennensnsnennnennnnnnnenssrsnasansennsnnnnen 29
6 The Moment-Weight Inequality 44ssnenserenenenennennen sone 37
7 Stability in Symplectice Geometry sssesennsreenennssennnaneseonee $1
8 Stability in Algebraic Geometry cccccccee eee ee eee neeeeeen ees 59
9 Rationality --0s0essenseenennsnnnnnsnensensnssnennensnnsensnsnrnrne 65
10 The Dominant a-Weight - sssssseenenesseensenennenenannnn nenn 75
11 Torus Actions 0sseresssenssnnsennnnnnsnsnnsnsnsnnsneseannnnsnnnen 89
12 The Hilbert-Mumford Criterion ssssrenessenenssneesensennee 95
13 Critical Orbits - 2- 2sss00snenesnsnnensnennenssensensentone 105
14 Examples - 224, Henenenrsnnanenesennsnansennennonsnsnnnsen nn rn rn 131
A Nonpositive Sectional Curvature sesssenensneesensensnnssssonsnnn 151
B The Complexified Group sessssssensennensnensnsenensnnensenn 159
C The Homogeneous Space M =G°/G zsseresseeneeesenerenssen 169
D Toral Generators c cece ce cec ceca rece eee nen ee nee ne nn ene seen enee 173
E The Partial Flag Manifold G°/P=G/C cneeesseneensesssenn 177
References »-#ssssenereennnenenenenosossnenannennnenenannanenenserenen 185
[ndex 0 00 0 cece cece e eee eeee eee ee ne eee e ee eee ne nene esse seeaseseeeeeeetaneeneens 189
|
| adam_txt |
Valentina Georgoulas * Joel W Robbin ®
Dietmar Arno Salamon
The Moment-Weight
Inequality
and the Hilbert-Mumford
Criterion
GIT from the Differential Geometric
Viewpoint
A Springer
Contents
1 Introduction -- --uusssessnanussnnnnuenunsnnesnennsansensannansennn 1
2 The Moment Map --r2essnnneneennnensenneenssnssenunsnennnnnn 7
3 The Moment Map Squared rssssscnsnsansesennensnnnenesseren 13
4 The Kempf-Ness Function ussseseseeserssnennenennensnensone 19
5 g-Weights u osceeneernenenenennensnsnennnennnnnnnenssrsnasansennsnnnnen 29
6 The Moment-Weight Inequality 44ssnenserenenenennennen sone 37
7 Stability in Symplectice Geometry sssesennsreenennssennnaneseonee $1
8 Stability in Algebraic Geometry cccccccee eee ee eee neeeeeen ees 59
9 Rationality --0s0essenseenennsnnnnnsnensensnssnennensnnsensnsnrnrne 65
10 The Dominant a-Weight - sssssseenenesseensenennenenannnn nenn 75
11 Torus Actions 0sseresssenssnnsennnnnnsnsnnsnsnsnnsneseannnnsnnnen 89
12 The Hilbert-Mumford Criterion ssssrenessenenssneesensennee 95
13 Critical Orbits - 2- 2sss00snenesnsnnensnennenssensensentone 105
14 Examples - 224, Henenenrsnnanenesennsnansennennonsnsnnnsen nn rn rn 131
A Nonpositive Sectional Curvature sesssenensneesensensnnssssonsnnn 151
B The Complexified Group sessssssensennensnensnsenensnnensenn 159
C The Homogeneous Space M =G°/G zsseresseeneeesenerenssen 169
D Toral Generators c cece ce cec ceca rece eee nen ee nee ne nn ene seen enee 173
E The Partial Flag Manifold G°/P=G/C cneeesseneensesssenn 177
References »-#ssssenereennnenenenenosossnenannennnenenannanenenserenen 185
[ndex 0 00 0 cece cece e eee eeee eee ee ne eee e ee eee ne nene esse seeaseseeeeeeetaneeneens 189 |
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| author | Georgoulas, Valentina Maria 1978- Robbin, Joel W. 1941- Salamon, Dietmar 1953- |
| author_GND | (DE-588)1119825954 (DE-588)105369041X (DE-588)1015895271 |
| author_facet | Georgoulas, Valentina Maria 1978- Robbin, Joel W. 1941- Salamon, Dietmar 1953- |
| author_role | aut aut aut |
| author_sort | Georgoulas, Valentina Maria 1978- |
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| building | Verbundindex |
| bvnumber | BV047635428 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)1289768314 (DE-599)KXP1780399251 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T18:46:38Z |
| indexdate | 2024-07-10T09:17:49Z |
| institution | BVB |
| institution_GND | (DE-588)1064344704 |
| isbn | 9783030892999 |
| language | English |
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| physical | vii, 190 Seiten 24 cm |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Georgoulas, Valentina Maria 1978- (DE-588)1119825954 aut The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon Cham Springer [2021] vii, 190 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics Volume 2297 Literaturverzeichnis: Seite 185-188 This Springer imprint is published by the registered company Springer Nature Switzerland AG Robbin, Joel W. 1941- (DE-588)105369041X aut Salamon, Dietmar 1953- (DE-588)1015895271 aut Springer International Publishing (DE-588)1064344704 pbl Erscheint auch als Online-Ausgabe 10.1007/978-3-030-89300-2 978-3-030-89300-2 (DE-604)BV047813109 Lecture notes in mathematics Volume 2297 (DE-604)BV000676446 2297 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033019728&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Georgoulas, Valentina Maria 1978- Robbin, Joel W. 1941- Salamon, Dietmar 1953- The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint Lecture notes in mathematics |
| title | The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint |
| title_auth | The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint |
| title_exact_search | The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint |
| title_exact_search_txtP | The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint |
| title_full | The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon |
| title_fullStr | The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon |
| title_full_unstemmed | The moment-weight inequality and the Hilbert-Mumford criterion GIT from the differential geometric viewpoint Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon |
| title_short | The moment-weight inequality and the Hilbert-Mumford criterion |
| title_sort | the moment weight inequality and the hilbert mumford criterion git from the differential geometric viewpoint |
| title_sub | GIT from the differential geometric viewpoint |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033019728&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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