Description

Book Synopsis
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.

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.

    Introduction to Algebraic Geometry

      Product form

      A Hardback by Steven Dale Cutkosky

      £110.70

      Includes FREE delivery

      RRP £123.00 – you save £12.30 (10%)

      Order before 4pm today for delivery by Mon 19 Oct 2026.

      5 in stock

        Trusted by thousands of customers. See 2,385+ Customer Reviews

        View other formats and editions of Introduction to Algebraic Geometry by Steven Dale Cutkosky

        Book details

        Publisher American Mathematical Society
        Published 30 July 2018
        ISBN-13 9781470435189
        978-1470435189
        ISBN-10 1470435187
        Also in:
        Mathematics Algebraic geometry Not Just Books Stationery

        Description

        Book Synopsis
        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.

        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.

          Recently viewed products

          © 2026 Book Curl

            • American Express
            • Apple Pay
            • Diners Club
            • Discover
            • Google Pay
            • Maestro
            • Mastercard
            • PayPal
            • Shop Pay
            • Union Pay
            • Visa

            Login

            Forgot your password?

            Don't have an account yet?
            Create account