The moment-weight inequality and the Hilbert-Mumford criterion: GIT from the differential geometric viewpoint
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham
Springer
[2021]
|
| Series: | Lecture notes in mathematics
Volume 2297 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis: Seite 185-188 This Springer imprint is published by the registered company Springer Nature Switzerland AG |
| Physical Description: | vii, 190 Seiten 24 cm |
| ISBN: | 9783030892999 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV047635428 | ||
| 003 | DE-604 | ||
| 005 | 20220315 | ||
| 007 | t | ||
| 008 | 211213s2021 sz |||| 00||| eng d | ||
| 020 | |a 9783030892999 |9 978-3-030-89299-9 | ||
| 024 | 3 | |a 9783030892999 | |
| 035 | |a (OCoLC)1289768314 | ||
| 035 | |a (DE-599)KXP1780399251 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a sz |c XA-CH | ||
| 049 | |a DE-824 |a DE-83 |a DE-188 | ||
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 53D20 |2 msc | ||
| 084 | |a 14L24 |2 msc | ||
| 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 | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 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 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o 10.1007/978-3-030-89300-2 |z 978-3-030-89300-2 |w (DE-604)BV047813109 |
| 830 | 0 | |a Lecture notes in mathematics |v Volume 2297 |w (DE-604)BV000676446 |9 2297 | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-033019728 | ||
Record in the Search Index
| _version_ | 1804183084078202880 |
|---|---|
| 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 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| 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- |
| author_variant | v m g vm vmg j w r jw jwr d s ds |
| building | Verbundindex |
| bvnumber | BV047635428 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)1289768314 (DE-599)KXP1780399251 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01892nam a2200421 cb4500</leader><controlfield tag="001">BV047635428</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220315 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">211213s2021 sz |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783030892999</subfield><subfield code="9">978-3-030-89299-9</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783030892999</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1289768314</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1780399251</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">sz</subfield><subfield code="c">XA-CH</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53D20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14L24</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Georgoulas, Valentina Maria</subfield><subfield code="d">1978-</subfield><subfield code="0">(DE-588)1119825954</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The moment-weight inequality and the Hilbert-Mumford criterion</subfield><subfield code="b">GIT from the differential geometric viewpoint</subfield><subfield code="c">Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham</subfield><subfield code="b">Springer</subfield><subfield code="c">[2021]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">vii, 190 Seiten</subfield><subfield code="c">24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">Volume 2297</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverzeichnis: Seite 185-188</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This Springer imprint is published by the registered company Springer Nature Switzerland AG</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Robbin, Joel W.</subfield><subfield code="d">1941-</subfield><subfield code="0">(DE-588)105369041X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Salamon, Dietmar</subfield><subfield code="d">1953-</subfield><subfield code="0">(DE-588)1015895271</subfield><subfield code="4">aut</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Springer International Publishing</subfield><subfield code="0">(DE-588)1064344704</subfield><subfield code="4">pbl</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="o">10.1007/978-3-030-89300-2</subfield><subfield code="z">978-3-030-89300-2</subfield><subfield code="w">(DE-604)BV047813109</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">Volume 2297</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">2297</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033019728</subfield></datafield></record></collection> |
| id | DE-604.BV047635428 |
| 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 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033019728 |
| oclc_num | 1289768314 |
| open_access_boolean | |
| owner | DE-824 DE-83 DE-188 |
| owner_facet | DE-824 DE-83 DE-188 |
| 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 |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT georgoulasvalentinamaria themomentweightinequalityandthehilbertmumfordcriteriongitfromthedifferentialgeometricviewpoint AT robbinjoelw themomentweightinequalityandthehilbertmumfordcriteriongitfromthedifferentialgeometricviewpoint AT salamondietmar themomentweightinequalityandthehilbertmumfordcriteriongitfromthedifferentialgeometricviewpoint AT springerinternationalpublishing themomentweightinequalityandthehilbertmumfordcriteriongitfromthedifferentialgeometricviewpoint |