Classical Algebraic Geometry A Modern View by Igor Dolgachev
Classical Algebraic Geometry A Modern View - Table of Contents
- 1. Polarity and Projective Geometry
- 2. Conics and Quadric Surfaces
- 3. Plane Cubics and Weierstrass Form
- 4. Determinantal Equations and Representations
- 5. Theta Characteristics and Spin Curves
- 6. Plane Quartics and Bitangents
- 7. Cremona Transformations
- 8. Del Pezzo Surfaces and Exceptional Curves
- 9. Cubic Surfaces and 27 Lines
- 10. Geometry of Lines and Grassmannians
What You Will Learn in Classical Algebraic Geometry A Modern View
Classical Algebraic Geometry: A Modern View by Igor Dolgachev connects 19th-century classical geometry with 21st-century scheme theory and invariant theory. Accessing this classical algebraic geometry a modern view igor dolgachev pdf allows students and researchers to study polarities, quadrics, cubic surfaces, and Veronese map constructions with contemporary algebraic rigor.
The volume examines plane curves, Cremona transformations, linear systems of algebraic curves, and Fano varieties. Studying this complete classical algebraic geometry dolgachev book provides essential background for working with moduli spaces, birational geometry, and intersection theory.
Offered as a complimentary study resource via classical algebraic geometry igor dolgachev pdf download, this standard reference remains an indispensable textbook for graduate seminars in geometry and topology.
Book Details & Specifications
Title:
Classical Algebraic Geometry A Modern View by Igor Dolgachev
Publisher:
Cambridge University Press
Year:
2012
Pages:
722
Type:
PDF
Language:
English
ISBN-10 #:
1107017653
ISBN-13 #:
978-3642725494
License:
External Educational Resource
Amazon:
Amazon
About the Author: Igor V. Dolgachev
The author Igor V. Dolgachev
is Professor Emeritus of Mathematics at the University of Michigan, world-renowned for his seminal contributions to algebraic geometry, invariant theory, and surface theory (notably Dolgachev surfaces).
Celebrated for connecting classical geometric intuition with modern algebraic structures, his foundational text Classical Algebraic Geometry: A Modern View by Igor Dolgachev is a cornerstone in higher mathematics education.
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