On degenerations of algebraic surfaces:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Hochschulschrift/Dissertation Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1977
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
189 |
| Schlagwörter: | |
| Links: | 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 |
| Beschreibung: | Volume 11, Number 189 (First of 2 numbers) |
| Umfang: | 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
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 990-189/190 |
|---|---|
| DE-BY-TUM_katkey | 1564840 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040006258340 |
| _version_ | 1821933348522557440 |
| 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- |
| author_role | aut |
| author_sort | Persson, Ulf 1950- |
| author_variant | u p up |
| building | Verbundindex |
| bvnumber | BV005765715 |
| ctrlnum | (OCoLC)260072640 (DE-599)BVBBV005765715 |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV005765715 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T08:37:49Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003601656 |
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| physical | XV, 144 S. Ill. u. graph. Darst. |
| psigel | TUB-www |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| 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 |
| url | 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 |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT perssonulf ondegenerationsofalgebraicsurfaces |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-189/190 Lageplan |
|---|---|
| Exemplar 1 |
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InhaltFolgende Werke befinden sich in dem Buch mit der oben genannten Signatur. |