03044nam 2200577 450 991082787110332120170821172538.01-4704-0079-0(CKB)3360000000464686(EBL)3114013(SSID)ssj0000888755(PQKBManifestationID)11456881(PQKBTitleCode)TC0000888755(PQKBWorkID)10865781(PQKB)10886108(MiAaPQ)EBC3114013(RPAM)3469368(PPN)195413857(EXLCZ)99336000000046468620140908h19931993 uy 0engur|n|---|||||txtccrAbelian coverings of the complex projective plane branched along configurations of real lines /Eriko HironakaProvidence, Rhode Island, United States :American Mathematical Society,1993.©19931 online resource (98 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 105, Number 502"September 1993, Volume 105, Number 502 (third of 6 numbers)"--Cover.0-8218-2564-X Includes bibliographical references.""Contents""; ""Introduction""; ""I. Preliminaries""; ""I.1 Branched coverings of smooth varieties""; ""I.2 The topology of branched coverings""; ""I.3 Inertia and stabilizer subgroups""; ""I.4 Criterion for smoothness of coverings""; ""I.5 First Betti number and Picard number""; ""II. Intersections of Curves on Covering Surfaces""; ""II.1 Lifting data""; ""II.2 Intersection graphs""; ""II.3 Intersection formulas for covering surfaces""; ""III. Hirzebruch Covering Surfaces""; ""III.1 Hirzebruch covering surfaces""; ""III.2 Fibrations and monodromy""""III.3 Fundamental group of the complement of real lines""""III.4 Lifting data for the branch locus""; ""IV. Algorithm for Computing the First Betti Number""; ""IV.1 Input""; ""IV.2 Step 1: First Betti number of unbranched part""; ""IV.3 Step 2: Intersection matrix for curves above branch locus""; ""V. Examples""; ""V.1 Classification of Hirzebruch coverings""; ""V.2 Lines in general position""; ""V.3 Fibrations""; ""V.4 Coverings birational to the product of two curves""; ""V.5 K3 surfaces and elliptic surfaces""; ""V.6 Calculations of invariants""; ""References""Memoirs of the American Mathematical Society ;Volume 105, Number 502.Surfaces, AlgebraicCovering spaces (Topology)Algebraic varietiesSurfaces, Algebraic.Covering spaces (Topology)Algebraic varieties.514Hironaka Eriko1962-732201MiAaPQMiAaPQMiAaPQBOOK9910827871103321Abelian coverings of the complex projective plane branched along configurations of real lines3922491UNINA