03021nam 2200541 450 991048077650332120170918220035.01-4704-0103-7(CKB)3360000000464373(EBL)3113534(SSID)ssj0000889104(PQKBManifestationID)11497170(PQKBTitleCode)TC0000889104(PQKBWorkID)10875485(PQKB)10513135(MiAaPQ)EBC3113534(PPN)195410726(EXLCZ)99336000000046437320770517h19771977 uy| 0engur|n|---|||||txtccrOn degenerations of algebraic surfaces /Ulf PerssonProvidence :American Mathematical Society,[1977]©19771 online resource (163 p.)Memoirs of the American Mathematical Society ;number 189Description based upon print version of record.0-8218-2189-X Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;no. 189.Surfaces, AlgebraicDegenerationsElectronic books.Surfaces, AlgebraicDegenerations.512/.33Persson Ulf1950-992139MiAaPQMiAaPQMiAaPQBOOK9910480776503321On degenerations of algebraic surfaces2271187UNINA