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Ems Textbooks in Mathematics Ser.: Lectures on Curves, Surfaces and Projective Varieties : A Classical View of Algebraic Geometry by Ettore Carletti, Giacomo Monti Bragadin, Mauro C. Beltrametti and Dionisio Gallarati (2009, Hardcover)

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About this product

Product Identifiers

PublisherEuropean Mathematical Society

ISBN-103037190647

ISBN-139783037190647

eBay Product ID (ePID)78488076

Product Key Features

Number of Pages506 Pages

LanguageEnglish

Publication NameLectures on Curves, Surfaces and Projective Varieties : a Classical View of Algebraic Geometry

SubjectGeometry / General, Algebra / General, Geometry / Algebraic

Publication Year2009

TypeTextbook

AuthorEttore Carletti, Giacomo Monti Bragadin, Mauro C. Beltrametti, Dionisio Gallarati

Subject AreaMathematics

SeriesEms Textbooks in Mathematics Ser.

FormatHardcover

Additional Product Features

LCCN2010-286923

Dewey Edition22

Series Volume Number9

IllustratedYes

Dewey Decimal516.3/52

Original LanguageItalian

SynopsisThis 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 in the last two years of an undergraduate program in mathematics. It contains some rather advanced topics suitable for specialized courses at 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.

LC Classification NumberQA565.L4313 2009