Painlevé III: a case study in the geometry of meromorphic connections
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cham
Springer
[2017]
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Schriftenreihe: | Lecture notes in mathematics
2198 |
Schlagworte: | |
Online-Zugang: | Cover Inhaltsverzeichnis |
Beschreibung: | xii, 202 Seiten Illustrationen |
ISBN: | 9783319665252 |
Internformat
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Datensatz im Suchindex
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adam_text | Titel: Painlevé III
Autor: Guest, Martin A
Jahr: 2017
Contents 1 Introduction................................................................. 1 2 The Riemann-Hilbert Correspondence for Pt, D (, Bundles.............. 21 3 (Ir deducibility............................................................. 33 4 Isomonodromic Families................................................... 37 5 Useful Formulae: Three 2x2 Matrices.................................. 43 6 P 3 D 6 -TEP Bundles.......................................................... 49 7 P 3 D 6 -TEJPA Bundles and Moduli Spaces of Their Monodromy Thples......................................................... 59 8 Normal Forms of P 3 D 6 -TEJPA Bundles and Their Moduli Spaces.... 71 9 Generalities on the Painlevé Equations.................................. 87 10 Solutions of the Painlevé Equation P///(0,0,4, —4)..................... 93 11 Comparison with the Setting of Its, Novokshenov, and Niles.......... 105 12 Asymptotics of All Solutions Near 0...................................... 115 13 Rank 2 TEPA Bundles with a Logarithmic Pole........................ 127 14 Symmetries of the Universal Family of Solutions of jP«/(0, 0,4, -4)........................................................... 145 15 Three Families of Solutions on M o....................................... 151 16 TERP Structures and P 3 D 6 -TEP Bundles................................ 161 17 Orbits of TERP Structures and Mixed TERP Structures.............. 171 xi
Contents xii 18 Real Solutions of Pm (0,0,4, —4) on M;,.o................................ 181 References ......................................................................... 197 Index of Notation 201
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any_adam_object | 1 |
author | Guest, Martin A. 1955- Hertling, Claus |
author_GND | (DE-588)134283236 |
author_facet | Guest, Martin A. 1955- Hertling, Claus |
author_role | aut aut |
author_sort | Guest, Martin A. 1955- |
author_variant | m a g ma mag c h ch |
building | Verbundindex |
bvnumber | BV044622891 |
classification_rvk | SI 850 |
ctrlnum | (OCoLC)1011518497 (DE-599)BSZ494880341 |
discipline | Mathematik |
format | Book |
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illustrated | Illustrated |
indexdate | 2024-07-10T07:57:25Z |
institution | BVB |
isbn | 9783319665252 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030021126 |
oclc_num | 1011518497 |
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owner | DE-83 DE-824 DE-188 |
owner_facet | DE-83 DE-824 DE-188 |
physical | xii, 202 Seiten Illustrationen |
publishDate | 2017 |
publishDateSearch | 2017 |
publishDateSort | 2017 |
publisher | Springer |
record_format | marc |
series | Lecture notes in mathematics |
series2 | Lecture notes in mathematics |
spelling | Guest, Martin A. 1955- (DE-588)134283236 aut Painlevé III a case study in the geometry of meromorphic connections Martin A. Guest ; Claus Hertling Cham Springer [2017] © 2017 xii, 202 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2198 Vektorraumbündel (DE-588)4187470-5 gnd rswk-swf Painlevé-Gleichung (DE-588)4123902-7 gnd rswk-swf Painlevé-Gleichung (DE-588)4123902-7 s Vektorraumbündel (DE-588)4187470-5 s 1\p DE-604 Hertling, Claus aut Lecture notes in mathematics 2198 (DE-604)BV000676446 2198 V:DE-576;X:springer image/jpeg http://swbplus.bsz-bw.de/bsz494880341cov.htm Cover HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030021126&sequence=000001&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 | Guest, Martin A. 1955- Hertling, Claus Painlevé III a case study in the geometry of meromorphic connections Lecture notes in mathematics Vektorraumbündel (DE-588)4187470-5 gnd Painlevé-Gleichung (DE-588)4123902-7 gnd |
subject_GND | (DE-588)4187470-5 (DE-588)4123902-7 |
title | Painlevé III a case study in the geometry of meromorphic connections |
title_auth | Painlevé III a case study in the geometry of meromorphic connections |
title_exact_search | Painlevé III a case study in the geometry of meromorphic connections |
title_full | Painlevé III a case study in the geometry of meromorphic connections Martin A. Guest ; Claus Hertling |
title_fullStr | Painlevé III a case study in the geometry of meromorphic connections Martin A. Guest ; Claus Hertling |
title_full_unstemmed | Painlevé III a case study in the geometry of meromorphic connections Martin A. Guest ; Claus Hertling |
title_short | Painlevé III |
title_sort | painleve iii a case study in the geometry of meromorphic connections |
title_sub | a case study in the geometry of meromorphic connections |
topic | Vektorraumbündel (DE-588)4187470-5 gnd Painlevé-Gleichung (DE-588)4123902-7 gnd |
topic_facet | Vektorraumbündel Painlevé-Gleichung |
url | http://swbplus.bsz-bw.de/bsz494880341cov.htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030021126&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT guestmartina painleveiiiacasestudyinthegeometryofmeromorphicconnections AT hertlingclaus painleveiiiacasestudyinthegeometryofmeromorphicconnections |