02137nam a22003375a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185100003000200245009000230260008200320300003400402336002600436337002600462338003600488347002400524490006100548506006600609520096400675650003101639650002801670856003201698856006901730257-200527CH-001817-320200527233006.0a    fot    ||| 0|cr nn mmmmamaa200527e20200630sz     fot    ||| 0|eng d  a978303719710370a10.4171/2102doi  ach0018173 7aPBMW2bicssc  a14-xx2msc1 aCiliberto, Ciro,eauthor.10aClassification of Complex Algebraic Surfacesh[electronic resource] /cCiro Ciliberto3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2020  a1 online resource (143 pages)  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aEMS Series of Lectures in Mathematics (ELM) ;x2523-51761 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php  aΤhe 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 Noether–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.07aAlgebraic geometry2bicssc07aAlgebraic geometry2msc40uhttps://doi.org/10.4171/210423cover imageuhttps://www.ems-ph.org/img/books/ciliberto_mini.jpg