On degenerations of algebraic surfaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1977
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
189 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 11, Number 189 (First of 2 numbers) |
| Beschreibung: | XV, 144 S. Ill. u. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a On degenerations of algebraic surfaces |c Ulf Persson |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1977 | |
| 300 | |a XV, 144 S. |b Ill. u. graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 189 | |
| 500 | |a Volume 11, Number 189 (First of 2 numbers) | ||
| 502 | |a Teilw. zugl.: Cambridge, Harvard University, Diss., 1975 | ||
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Datensatz im Suchindex
| _version_ | 1804119949380157440 |
|---|---|
| adam_text | Table of Contents
Introduction iv
I. A brief survey of the structure and classification
of surfaces 1
Ruled surfaces 9
Elliptic surfaces 18
The classification table of surfaces 26
II. The structure of a degeneration 30
1. The singular fiber 30
2. The local behavior near the singular fiber 30
3. The global structure of x close to sQ 35
4. Intersection theory on N and its applications 37
5. The Mayer Vietoris spectral sequence, and the
calculations of the Betti numbers of the general
fiber in terms of the special 50
6. Projective Degenerations 59
7. Mixed Hodge structures and the Clemens Schmid
exact sequence 61
III. Degenerations of surfaces 74
1. Specializations of birational isomorphisms and
some of its applications 75
2. Degenerations of elliptic surfaces 78
3. Degenerations of minimal x ¦ 0 surfaces in the case
of no triple points 84
IV. Lemmas on Curves on Surfaces 101
V. Deformations of two surfaces meeting along a
non singular curve 112
1. C is rational 113
2. C is nonrational 119
Bibliography 123
Appendix
1. Elementary examples of degenerations 125
2. A degeneration of Enriques Burfaces 131
3. A degeneration of Godeaux surfaces 134
4. The index of cruciality for elliptic curves in 139
elliptic ruled surfaces
Bibliography of the appendix 142
List of symbols and notational conventions
Index
|
| any_adam_object | 1 |
| author | Persson, Ulf 1950- |
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| author_facet | Persson, Ulf 1950- |
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| author_sort | Persson, Ulf 1950- |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:34:19Z |
| institution | BVB |
| language | English |
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| physical | XV, 144 S. Ill. u. graph. Darst. |
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| publishDate | 1977 |
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| publisher | American Math. Soc. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Persson, Ulf 1950- Verfasser (DE-588)172318025 aut On degenerations of algebraic surfaces Ulf Persson Providence, RI American Math. Soc. 1977 XV, 144 S. Ill. u. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 189 Volume 11, Number 189 (First of 2 numbers) Teilw. zugl.: Cambridge, Harvard University, Diss., 1975 Entartung Mathematik (DE-588)4281807-2 gnd rswk-swf Algebraische Fläche (DE-588)4195660-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Algebraische Fläche (DE-588)4195660-6 s DE-604 Entartung Mathematik (DE-588)4281807-2 s American Mathematical Society: Memoirs of the American Mathematical Society 189 (DE-604)BV008000141 189 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003601656&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Persson, Ulf 1950- On degenerations of algebraic surfaces American Mathematical Society: Memoirs of the American Mathematical Society Entartung Mathematik (DE-588)4281807-2 gnd Algebraische Fläche (DE-588)4195660-6 gnd |
| subject_GND | (DE-588)4281807-2 (DE-588)4195660-6 (DE-588)4113937-9 |
| title | On degenerations of algebraic surfaces |
| title_auth | On degenerations of algebraic surfaces |
| title_exact_search | On degenerations of algebraic surfaces |
| title_full | On degenerations of algebraic surfaces Ulf Persson |
| title_fullStr | On degenerations of algebraic surfaces Ulf Persson |
| title_full_unstemmed | On degenerations of algebraic surfaces Ulf Persson |
| title_short | On degenerations of algebraic surfaces |
| title_sort | on degenerations of algebraic surfaces |
| topic | Entartung Mathematik (DE-588)4281807-2 gnd Algebraische Fläche (DE-588)4195660-6 gnd |
| topic_facet | Entartung Mathematik Algebraische Fläche Hochschulschrift |
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