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Lectures on Curves, Surfaces and Pro...

Beltrametti, Mauro C.,

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Lectures on Curves, Surfaces and Projective Varieties = A Classical View of Algebraic Geometry First corrected reprint, June 2012 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lectures on Curves, Surfaces and Projective Varieties/ Mauro C. Beltrametti, Ettore Carletti, Dionisio Gallarati, Giacomo Monti Bragadin
其他題名:	A Classical View of Algebraic Geometry First corrected reprint, June 2012 /
作者:	Beltrametti, Mauro C.,
其他作者:	Carletti, Ettore,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2009,
面頁冊數:	1 online resource (506 pages)
標題:	Algebraic geometry -
電子資源:	https://doi.org/10.4171/064
電子資源:	https://www.ems-ph.org/img/books/beltrametti_mini.jpg
ISBN:	9783037195642

Lectures on Curves, Surfaces and Projective Varieties = A Classical View of Algebraic Geometry First corrected reprint, June 2012 /
Beltrametti, Mauro C.,

Lectures on Curves, Surfaces and Projective VarietiesA Classical View of Algebraic Geometry First corrected reprint, June 2012 /[electronic resource] :Mauro C. Beltrametti, Ettore Carletti, Dionisio Gallarati, Giacomo Monti Bragadin - Zuerich, Switzerland :European Mathematical Society Publishing House,2009 - 1 online resource (506 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

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 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.

ISBN: 9783037195642

Standard No.: 10.4171/064doiSubjects--Topical Terms:

3480846
Algebraic geometry

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