Pseudo-periodic maps and degeneration of Riemann surfaces:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Springer
2011
|
| Series: | Lecture notes in mathematics
2030 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XVI, 238 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642225338 3642225330 9783642225345 |
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MARC
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Record in the Search Index
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| adam_text |
IMAGE 1
CONTENTS
PART I CONJUGACY CLASSIFICATION OF PSEUDO-PERIODIC MAPPING CLASSES
1 PSEUDO-PERIODIC MAPS 3
1. 1 BASIC DEFINITIONS 3
1.2 NIELSEN'S RESULTS ON PSEUDO-PERIODIC MAPS 6
2 STANDARDFORM 17
2. 1 DEFINITIONS AND MAIN THEOREM OF CHAP. 2 17
2.2 PERIODIC PART 20
2.3 NON-AMPHIDROME ANNULI 20
2.4 AMPHIDROME ANNULI 35
2.5 PROOF OF THEOREM 2.1 47
3 GENERALIZED QUOTIENT 53
3.1 DEFINITIONS AND MAIN THEOREM OF CHAP. 3 53
3.2 PROOF OF THEOREM 3.1 60
3.3 QUOTIENT OF (0, F \SB') 61
3.4 RE-NORMALIZATION OF A ROTATION 61
3.5 RE-NORMALIZATION OF A LINEAR TWIST 71
3.6 RE-NORMALIZATION OF A SPECIAL TWIST 83
3.7 COMPLETION OF THEOREM 3.1. (EXISTENCE) 91
4 UNIQUENESS OF MINIMAL QUOTIENT 93
4.1 MAIN THEOREM OF CHAP. 4 93
4.2 STRUCTURE OF TT~ 1 (ARCH) 97
4.3 STRUCTURE OF N~ L (TAIL) 103
4.4 STRUCTURE OFJR~'(BODY) 107
4.5 COMPLETION OF THE PROOF OF THEOREM 4.1. (UNIQUENESS) 113 4.6 GENERAL
DEFINITION OF MINIMAL QUOTIENT 118
4.7 CONJUGACY INVARIANCE 119
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012892611
DIGITALISIERT DURCH
IMAGE 2
XVI CONTENTS
5 A THEOREM IN ELEMENTARY NUMBER THEORY 131
5.1 PROOF OF THEOREM 5.1. (UNIQUENESS) 132
5.2 PROOF OF THEOREM 5.1. (EXISTENCE) 135
6 CONJUGACY INVARIANTS 145
6.1 PARTITION GRAPHS 149
6.2 WEIGHTED GRAPHS 151
6.3 COMPLETION OF THE PROOF OF THEOREM 6.1 162
6.4 WEIGHTED COHOMOLOGY 164
PART II THE TOPOLOGY OF DEGENERATION OF RIEMANN SURFACES
7 TOPOLOGICAL MONODROMY 173
7.1 PROOF OF THEOREM 7.1 175
7.2 CONSTRUCTION OF A AND {#,}*=, 176
7.3 THE DECOMPOSITION F C = AC U BC 177
7.4 CONSTRUCTION OF A MONODROMY HOMEOMORPHISM 177
7.5 NEGATIVITY OF SCREW NUMBERS 181
7.6 COMPLETION OF THE PROOF OF THEOREM 7.1 1 85
8 BLOWING DOWN IS A TOPOLOGICAL OPERATION 189
9 SINGULAR OPEN-BOOK 199
9.1 COMPLETION OF THE PROOF OF THEOREM 7.2 211
9.2 CHARACTERIZATION OF THE TRIPLES (5, Y, C) THAT COME FROM
PSEUDO-PERIODIC MAPS 213
9.3 COMPLETION OF THE PROOF OF THEOREM 9.2 218
9.4 CONCLUDING REMARK 220
A PERIODIC MAPS WHICH ARE HOMOTOPIC 221
REFERENCES 233
INDEX 237 |
| any_adam_object | 1 |
| author | Matsumoto, Yukio 1944- Montesinos-Amilibia, José María 1944- |
| author_GND | (DE-588)136960693 (DE-588)1029632294 |
| author_facet | Matsumoto, Yukio 1944- Montesinos-Amilibia, José María 1944- |
| author_role | aut aut |
| author_sort | Matsumoto, Yukio 1944- |
| author_variant | y m ym j m m a jmm jmma |
| building | Verbundindex |
| bvnumber | BV039547191 |
| classification_rvk | SI 850 |
| classification_tum | MAT 145f MAT 306f |
| ctrlnum | (OCoLC)750950476 (DE-599)DNB1012892611 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-21T00:07:58Z |
| institution | BVB |
| isbn | 9783642225338 3642225330 9783642225345 |
| language | English |
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| physical | XVI, 238 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2011 |
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| publishDateSort | 2011 |
| publisher | Springer |
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| series2 | Lecture notes in mathematics |
| spelling | Matsumoto, Yukio 1944- Verfasser (DE-588)136960693 aut Pseudo-periodic maps and degeneration of Riemann surfaces Yukio Matsumoto ; José María Montesinos-Amilibia Berlin Springer 2011 XVI, 238 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2030 Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Periodische Abbildung (DE-588)4173777-5 gnd rswk-swf Entartung Mathematik (DE-588)4281807-2 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 s Entartung Mathematik (DE-588)4281807-2 s Periodische Abbildung (DE-588)4173777-5 s DE-604 Montesinos-Amilibia, José María 1944- Verfasser (DE-588)1029632294 aut Erscheint auch als Online-Ausgabe Pseudo-periodic Maps and Degeneration of Riemann Surfaces Lecture notes in mathematics 2030 (DE-604)BV000676446 2030 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3843075&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024399140&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Matsumoto, Yukio 1944- Montesinos-Amilibia, José María 1944- Pseudo-periodic maps and degeneration of Riemann surfaces Lecture notes in mathematics Riemannsche Fläche (DE-588)4049991-1 gnd Periodische Abbildung (DE-588)4173777-5 gnd Entartung Mathematik (DE-588)4281807-2 gnd |
| subject_GND | (DE-588)4049991-1 (DE-588)4173777-5 (DE-588)4281807-2 |
| title | Pseudo-periodic maps and degeneration of Riemann surfaces |
| title_auth | Pseudo-periodic maps and degeneration of Riemann surfaces |
| title_exact_search | Pseudo-periodic maps and degeneration of Riemann surfaces |
| title_full | Pseudo-periodic maps and degeneration of Riemann surfaces Yukio Matsumoto ; José María Montesinos-Amilibia |
| title_fullStr | Pseudo-periodic maps and degeneration of Riemann surfaces Yukio Matsumoto ; José María Montesinos-Amilibia |
| title_full_unstemmed | Pseudo-periodic maps and degeneration of Riemann surfaces Yukio Matsumoto ; José María Montesinos-Amilibia |
| title_short | Pseudo-periodic maps and degeneration of Riemann surfaces |
| title_sort | pseudo periodic maps and degeneration of riemann surfaces |
| topic | Riemannsche Fläche (DE-588)4049991-1 gnd Periodische Abbildung (DE-588)4173777-5 gnd Entartung Mathematik (DE-588)4281807-2 gnd |
| topic_facet | Riemannsche Fläche Periodische Abbildung Entartung Mathematik |
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| volume_link | (DE-604)BV000676446 |
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