Record ID | marc_columbia/Columbia-extract-20221130-033.mrc:463845136:4864 |
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008 100809t20092009sz a ob 001 0 eng d
035 $a(OCoLC)ocn656239036
035 $a(NNC)16273022
040 $aCOO$beng$erda$cCOO$dOCLCQ$dOSU$dOCLCO$dOCLCQ$dOCLCF$dNOC$dLLB$dHEBIS$dOCLCO$dINT$dOCLCQ$dN$T$dOCLCO
019 $a817964739
020 $a3037195649$qelectronic book
020 $a9783037195642$q(electronic bk.)
020 $z9783037190647
020 $z3037190647
035 $a(OCoLC)656239036$z(OCoLC)817964739
041 1 $aeng$hita
050 4 $aQA565$b.L4313 2009eb
082 04 $a516.3/52$222
049 $aZCUA
130 0 $aLetture su curve, superficie e varietà proiettive speciali.$lEnglish.
245 10 $aLectures on curves, surfaces and projective varieties :$ba classical view of algebraic geometry /$cMauro C. Beltrametti, Ettore Carletti, Dionisio Gallarati, Giocomo Monti Bragadin ; translated from the Italian by Francis Sullivan.
264 1 $aZürich, Switzerland :$bEuropean Mathematical Society,$c[2009]
264 4 $c©2009
300 $a1 online resource (xv, 491 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aEMS textbooks in mathematics
500 $aOriginal title: Letture su curve, superficie e varietà proiettive speciali : un'introduzione alla geometria algebrica, published by Bollati Boringhieri, Torino, ©2003.
504 $aIncludes bibliographical references (pages 467-473) and index.
505 0 $aPrerequisites -- Algebraic Sets, Morphisms, and Rational Maps -- Geometric Properties of Algebraic Varieties -- Rudiments of Elimination Theory -- Hypersurfaces in Projective Space -- Linear Systems -- Algebraic Curves -- Linear Series on Algebraic Curves -- Cremona Transformations -- Rational Surfaces -- Segre Varieties -- Grassmann Varieties -- Supplementary Exercises.
588 $aDescription based on print version record.
520 $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.
650 0 $aCurves, Algebraic$vTextbooks.
650 0 $aSurfaces, Algebraic$vTextbooks.
650 0 $aGeometry, Projective$vTextbooks.
650 7 $aCurves, Algebraic.$2fast$0(OCoLC)fst00885451
650 7 $aGeometry, Projective.$2fast$0(OCoLC)fst00940936
650 7 $aSurfaces, Algebraic.$2fast$0(OCoLC)fst01139295
650 7 $aAlgebraische Geometrie$2gnd
650 7 $aProjektiver Raum$2gnd
650 7 $aHyperfläche$2gnd
650 7 $aAlgebraische Kurve$2gnd
650 7 $aRiemann-Roch-Satz$2gnd
655 4 $aElectronic books.
655 7 $aTextbooks.$2fast$0(OCoLC)fst01423863
700 1 $aBeltrametti, Mauro,$d1948-$eauthor.
700 1 $aCarletti, Ettore,$eauthor.
700 1 $aGallarati, Dionisio,$d1923-$eauthor.
700 1 $aBragadin, Giacomo Monti,$eauthor.
700 1 $aSullivan, Francis J.,$d1943-$etranslator.
776 08 $iPrint version:$tLectures on curves, surfaces and projective varieties.$dZürich : European Mathematical Society, ©2009$z9783037190647$w(DLC) 2010286923$w(OCoLC)436909675
830 0 $aEMS textbooks in mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16273022$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS