Cart
  • Free Shipping on all orders in Australia
  • Over 7 million books in stock
  • Proud to be B-Corp
  • We aim to be carbon neutral by 2022
  • Over 120,000 Trustpilot reviews
Item 1 of 0
Introduction to Algebraic Geometry By Steven Dale Cutkosky

Introduction to Algebraic Geometry by Steven Dale Cutkosky

Condition - New
$189,39
Only 2 left

Summary

Presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic $0$ and positive characteristic are emphasized.

Introduction to Algebraic Geometry Summary

Introduction to Algebraic Geometry by Steven Dale Cutkosky

This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic $0$ and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters.

With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.

About Steven Dale Cutkosky

Steven Dale Cutkosky, University of Missouri, Columbia, MO.

Table of Contents

  • A crash course in commutative algebra
  • Affine varieties
  • Projective varieties
  • Regular and rational maps of quasi-projective varieties
  • Products
  • The blow-up of an ideal
  • Finite maps of quasi-projective varieties
  • Dimension of quasi-projective algebraic sets
  • Zariski's main theorem
  • Nonsingularity
  • Sheaves
  • Applications to regular and rational maps
  • Divisors
  • Differential forms and the canonical divisor
  • Schemes
  • The degree of a projective variety
  • Cohomology
  • Curves
  • An introduction to intersection theory
  • Surfaces
  • Ramification and etale maps
  • Bertini's theorem and general fibers of maps
  • Bibliography
  • Index.

    Additional information

    NGR9781470435189
    9781470435189
    1470435187
    Introduction to Algebraic Geometry by Steven Dale Cutkosky
    New
    Hardback
    American Mathematical Society
    20180730
    488
    N/A
    Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
    This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

    Customer Reviews - Introduction to Algebraic Geometry