02137nam a22003375a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185100003000200245009000230260008200320300003400402336002600436337002600462338003600488347002400524490006100548506006600609520096400675650003101639650002801670856003201698856006901730257-200527CH-001817-320200527233006.0a fot ||| 0|cr nn mmmmamaa200527e20200630sz fot ||| 0|eng d a978303719710370a10.4171/2102doi ach0018173 7aPBMW2bicssc a14-xx2msc1 aCiliberto, Ciro,eauthor.10aClassification of Complex Algebraic Surfacesh[electronic resource] /cCiro Ciliberto3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2020 a1 online resource (143 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Series of Lectures in Mathematics (ELM) ;x2523-51761 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aÎ¤he classification of complex algebraic surfaces is a very classical subject which goes back to the old Italian school of algebraic geometry with Enriques and Castelnuovo. However, the exposition in the present book is modern and follows Mori's approach to the classification of algebraic varieties. The text includes the \$P_{12}\$ theorem, the Sarkisov programme in the surface case and the Noetherâ€“Castelnuovo theorem in its classical version. This book serves as a relatively quick and handy introduction to the theory of algebraic surfaces and is intended for readers with a good knowledge of basic algebraic geometry. Although an acquaintance with the basic parts of books like Principles of Algebraic Geometry by Griffiths and Harris or Algebraic Geometry by Hartshorne should be sufficient, the author strove to make the text as self-contained as possible and, for this reason, a first chapter is devoted to a quick exposition of some preliminaries.07aAlgebraic geometry2bicssc07aAlgebraic geometry2msc40uhttps://doi.org/10.4171/210423cover imageuhttps://www.ems-ph.org/img/books/ciliberto_mini.jpg