Librería Bonilla. Desde 1950

	Título: Lectures On Curves, Surfaces And Projective Varieties. A Clasical View Of Algebr
	Autor: Beltrametti Mauro C/ Carletti Ettore/ Gallarati Dionisio/ Mo	Precio: $985.41
	Editorial: European Mathematical Society	Año: 2009
	Tema: Matematicas, Algebra, Geometria	Edición: 1ª
	Sinopsis	ISBN: 9783037190647
	This 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. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Table of Contents Prerequisites 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 Bibliography Index

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