03002nam a22003735a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185100003600200245024300236260008200479300003400561336002600595337002600621338003600647347002400683490003900707506006600746520155100812650003102363650002802394700003102422700003402453700003802487856003202525856007102557103-091109CH-001817-320091109150325.0a fot ||| 0|cr nn mmmmamaa091109e20090808sz fot ||| 0|eng d a978303719564270a10.4171/0642doi ach0018173 7aPBMW2bicssc a14-xx2msc1 aBeltrametti, Mauro C.,eauthor.10aLectures on Curves, Surfaces and Projective Varietiesh[electronic resource] :bA Classical View of Algebraic Geometry First corrected reprint, June 2012 /cMauro C. Beltrametti, Ettore Carletti, Dionisio Gallarati, Giacomo Monti Bragadin3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2009 a1 online resource (506 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Textbooks in Mathematics (ETB)1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php 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.07aAlgebraic geometry2bicssc07aAlgebraic geometry2msc1 aCarletti, Ettore,eauthor.1 aGallarati, Dionisio,eauthor.1 aMonti Bragadin, Giacomo,eauthor.40uhttps://doi.org/10.4171/064423cover imageuhttps://www.ems-ph.org/img/books/beltrametti_mini.jpg