LEADER 03018nam 2200541 450 001 9910788609903321 005 20170918220035.0 010 $a1-4704-0103-7 035 $a(CKB)3360000000464373 035 $a(EBL)3113534 035 $a(SSID)ssj0000889104 035 $a(PQKBManifestationID)11497170 035 $a(PQKBTitleCode)TC0000889104 035 $a(PQKBWorkID)10875485 035 $a(PQKB)10513135 035 $a(MiAaPQ)EBC3113534 035 $a(RPAM)4611522 035 $a(PPN)195410726 035 $a(EXLCZ)993360000000464373 100 $a20770517h19771977 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOn degenerations of algebraic surfaces /$fUlf Persson 210 1$aProvidence :$cAmerican Mathematical Society,$d[1977] 210 4$dİ1977 215 $a1 online resource (163 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 189 300 $aDescription based upon print version of record. 311 $a0-8218-2189-X 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""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"" 327 $a""Appendix 3. A degeneration of Godeaux surfaces""""Appendix 4. The index of cruciality for elliptic curves in elliptic ruled surfaces""; ""Bibliography of the appendix""; ""List of symbols and notational conventions""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 189. 606 $aSurfaces, Algebraic$xDegenerations 615 0$aSurfaces, Algebraic$xDegenerations. 676 $a512/.33 700 $aPersson$b Ulf$f1950-$01542958 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788609903321 996 $aOn degenerations of algebraic surfaces$93796146 997 $aUNINA