LEADER 03142nam 22005775 450 001 9910988386403321 005 20250325121135.0 010 $a9789819615131 010 $a9819615135 024 7 $a10.1007/978-981-96-1513-1 035 $a(MiAaPQ)EBC31975393 035 $a(Au-PeEL)EBL31975393 035 $a(CKB)38109832300041 035 $a(DE-He213)978-981-96-1513-1 035 $a(EXLCZ)9938109832300041 100 $a20250325d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEnriques Surfaces II /$fby Igor Dolgachev, Shigeyuki Kond? 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (496 pages) 311 08$a9789819615124 311 08$a9819615127 327 $a6 Nodal Enriques Surfaces -- 7 Reye Congruences -- 8 Automorphisms of Enriques Surfaces -- 9 Rational Coble Surfaces -- 10 Supersingular K3 Surfaces and Enriques Surfaces. 330 $aThis book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years by F. Enriques in an attempt to extend the characterization of rational algebraic curves to the case of algebraic surfaces. The novel feature of the present exposition is that no assumption on the characteristic of the ground field is assumed. This requirement calls for exploring the geometry of such surfaces by purely geometric and arithmetic methods that do not rely on transcendental methods such as the theory of periods of algebraic surfaces of type K3, which are close relatives of Enriques surfaces. Some of the methods use many technical tools from algebraic geometry that are discussed in Volume 1 and will be a useful source of reference for the study of algebraic surfaces over fields of positive characteristic. Volume 1 also contains a detailed exposition of the theory of elliptic surfaces over fields of arbitrary characteristic. The second volume discusses many new topics ? for example, the theory of automorphisms of Enriques surfaces and the relationships with hyperbolic geometry. Together, the two volumes contain many examples and an extensive bibliography made up of more than 700 items. 606 $aAlgebraic geometry 606 $aAlgebra 606 $aFunctions of complex variables 606 $aAlgebraic Geometry 606 $aAlgebra 606 $aSeveral Complex Variables and Analytic Spaces 615 0$aAlgebraic geometry. 615 0$aAlgebra. 615 0$aFunctions of complex variables. 615 14$aAlgebraic Geometry. 615 24$aAlgebra. 615 24$aSeveral Complex Variables and Analytic Spaces. 676 $a516.35 700 $aDolgachev$b Igor$0149516 701 $aKond?$b Shigeyuki$0310633 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910988386403321 996 $aEnriques Surfaces II$94348105 997 $aUNINA