Classical Algebraic Geometry : A Modern View - Igor V. Dolgachev

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Classical Algebraic Geometry

A Modern View

By: Igor V. Dolgachev

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Hardcover | 16 August 2012

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Hardcover
652 Pages

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23.39 x 15.6 x 3.96

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Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.

Industry Reviews

'... the author has rendered a great, truly invaluable service to the community of algebraic geometers worldwide. No doubt, this great book is a product of ultimate enthusiasm, ethical principles and expertise, which will help preserve the precious legacy of classical algebraic geometry for further generations of researchers, teachers and students in the field.' Werner Kleinert, EMS Newsletter
'The amount of material covered is absolutely impressive - it reflects the amazing culture of the author ... [He] has rendered a great service to the algebraic geometry community: most of the material treated was available previously only in classical texts, which are quite difficult to read for modern mathematicians. This is a wonderful book. Anyone interested in classical algebraic geometry should have a copy.' Arnaud Beauville, Mathematical Reviews

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Calculus

Preface
Polarity
Conics and quadrics
Plane cubics
Determinantal equations
Theta characteristics
Plane quartics
Cremona transformations
Del Pezzo surfaces
Cubic surfaces
Geometry of lines
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Classical Algebraic Geometry

A Modern View

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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