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Classical Algebraic Geometry A Modern View 1st Edition by Igor Dolgachev ISBN 978-1107017658 1107017653

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Classical Algebraic Geometry A Modern View 1st Edition Igor V. Dolgachev Digital Instant Download

Author(s): Igor V. Dolgachev
ISBN(s): 9781107017658, 1107017653
Edition: 1st
File Details: PDF, 3.37 MB
Year: 2012
Language: english
SKU: EB-6768910 Category: Tag:

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Product details: 

ISBN 10:  1107017653

ISBN 13: 978-1107017658

Author: Igor V. Dolgachev

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.
 

Table of contents: 

  1. Polarity

  2. Conics and Quadric Surfaces

  3. Plane Cubics

  4. Determinantal Equations

  5. Theta Characteristics

  6. Plane Quartics

  7. Cremona Transformations

  8. Del Pezzo Surfaces

  9. Cubic Surfaces

  10. Geometry of Lines

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Tags: Igor Dolgachev, Classical Algebraic, Geometry A Modern