LEADER 03048nam 2200577 450 001 9910480522703321 005 20170821172538.0 010 $a1-4704-0079-0 035 $a(CKB)3360000000464686 035 $a(EBL)3114013 035 $a(SSID)ssj0000888755 035 $a(PQKBManifestationID)11456881 035 $a(PQKBTitleCode)TC0000888755 035 $a(PQKBWorkID)10865781 035 $a(PQKB)10886108 035 $a(MiAaPQ)EBC3114013 035 $a(PPN)195413857 035 $a(EXLCZ)993360000000464686 100 $a20140908h19931993 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAbelian coverings of the complex projective plane branched along configurations of real lines /$fEriko Hironaka 210 1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1993. 210 4$dİ1993 215 $a1 online resource (98 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 105, Number 502 300 $a"September 1993, Volume 105, Number 502 (third of 6 numbers)"--Cover. 311 $a0-8218-2564-X 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""III.3 Fundamental group of the complement of real lines""""III.4 Lifting data for the branch locus""; ""IV. Algorithm for Computing the First Betti Number""; ""IV.1 Input""; ""IV.2 Step 1: First Betti number of unbranched part""; ""IV.3 Step 2: Intersection matrix for curves above branch locus""; ""V. Examples""; ""V.1 Classification of Hirzebruch coverings""; ""V.2 Lines in general position""; ""V.3 Fibrations""; ""V.4 Coverings birational to the product of two curves""; ""V.5 K3 surfaces and elliptic surfaces""; ""V.6 Calculations of invariants""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 105, Number 502. 606 $aSurfaces, Algebraic 606 $aCovering spaces (Topology) 606 $aAlgebraic varieties 608 $aElectronic books. 615 0$aSurfaces, Algebraic. 615 0$aCovering spaces (Topology) 615 0$aAlgebraic varieties. 676 $a514 700 $aHironaka$b Eriko$f1962-$0732201 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480522703321 996 $aAbelian coverings of the complex projective plane branched along configurations of real lines$92260051 997 $aUNINA