LEADER 02991nam 22004215a 450 001 9910151933103321 005 20091109150325.0 010 $a3-03719-564-9 024 70$a10.4171/064 035 $a(CKB)3710000000953844 035 $a(CH-001817-3)103-091109 035 $a(PPN)178155640 035 $a(EXLCZ)993710000000953844 100 $a20091109j20090808 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Curves, Surfaces and Projective Varieties$b[electronic resource] $eA Classical View of Algebraic Geometry First corrected reprint, June 2012 /$fMauro C. Beltrametti, Ettore Carletti, Dionisio Gallarati, Giacomo Monti Bragadin 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009 215 $a1 online resource (506 pages) 225 0 $aEMS Textbooks in Mathematics (ETB) 330 $aThis book offers a wide-ranging introduction to algebraic geometry along classical lines. It consists of lectures on topics in classical algebraic geometry, including the basic properties of projective algebraic varieties, linear systems of hypersurfaces, algebraic curves (with special emphasis on rational curves), linear series on algebraic curves, Cremona transformations, rational surfaces, and notable examples of special varieties like the Segre, Grassmann, and Veronese varieties. An integral part and special feature of the presentation is the inclusion of many exercises, not easy to find in the literature and almost all with complete solutions. The text is aimed at students of the last two years of an undergraduate program in mathematics. It contains some rather advanced topics suitable for specialized courses on the advanced undergraduate or beginning graduate level, as well as interesting topics for a senior thesis. The prerequisites have been deliberately limited to basic elements of projective geometry and abstract algebra. Thus, for example, some knowledge of the geometry of subspaces and properties of fields is assumed. The book will be welcomed by teachers and students of algebraic geometry who are seeking a clear and panoramic path leading from the basic facts about linear subspaces, conics and quadrics to a systematic discussion of classical algebraic varieties and the tools needed to study them. The text provides a solid foundation for approaching more advanced and abstract literature. 606 $aAlgebraic geometry$2bicssc 606 $aAlgebraic geometry$2msc 615 07$aAlgebraic geometry 615 07$aAlgebraic geometry 686 $a14-xx$2msc 700 $aBeltrametti$b Mauro C.$058418 702 $aCarletti$b Ettore 702 $aGallarati$b Dionisio 702 $aMonti Bragadin$b Giacomo 801 0$bch0018173 906 $aBOOK 912 $a9910151933103321 996 $aLectures on Curves, Surfaces and Projective Varieties$92565748 997 $aUNINA