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Record Nr. |
UNINA9910480776503321 |
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Autore |
Persson Ulf <1950-> |
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Titolo |
On degenerations of algebraic surfaces / / Ulf Persson |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , [1977] |
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©1977 |
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ISBN |
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Descrizione fisica |
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1 online resource (163 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 189 |
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Disciplina |
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Soggetti |
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Surfaces, Algebraic - Degenerations |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""Table of Contents""; ""Introduction""; ""I. A brief survey of the structure and classification of surfaces""; ""Ruled surfaces""; ""Elliptic surfaces""; ""The classification table of surfaces""; ""II. The structure of a degeneration""; ""1. The singular fiber""; ""2. The local behavior near the singular fiber""; ""3. The global structure of N close to N[sub(0)]""; ""4. Intersection theory on N and its applications""; ""5. The Mayer-Vietoris spectral sequence, and the calculations of the Betti numbers of the general fiber in terms of the special""; ""6. Projective Degenerations"" |
""7. Mixed Hodge structures and the Clemens-Schmid exact sequence""""III. Degenerations of surfaces""; ""1. Specializations of birational isomorphisms and some of its applications""; ""2. Degenerations of elliptic surfaces""; ""3. Degenerations of minimal N = 0 surfaces in the case of no triple points""; ""IV. Lemmas on Curves on Surfaces""; ""V. Deformations of two surfaces meeting along a non-singular curve""; ""1. C is rational""; ""2. C is nonrational""; ""Bibliography""; ""Appendix 1. Elementary examples of degenerations""; ""Appendix 2. A degeneration of Enriques surfaces"" |
""Appendix 3. A degeneration of Godeaux surfaces""""Appendix 4. The index of cruciality for elliptic curves in elliptic ruled surfaces""; ""Bibliography of the appendix""; ""List of symbols and notational conventions""; ""Index"" |
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