Standard Article

Algebraic Geometry

  1. David A. Cox

Published Online: 14 DEC 2007

DOI: 10.1002/9780470050118.ecse012

Wiley Encyclopedia of Computer Science and Engineering

Wiley Encyclopedia of Computer Science and Engineering

How to Cite

Cox, D. A. 2007. Algebraic Geometry. Wiley Encyclopedia of Computer Science and Engineering. .

Author Information

  1. Amherst College, Amherst, Massachusetts

Publication History

  1. Published Online: 14 DEC 2007

Abstract

Algebraic geometry is an area of mathematics that concerns the interaction between algebra and goemetry. This article discusses some main algebraic and geometric objects of interest in algebraic geometry. Computational methods and abstract theories are discussed, and some main applications to computer science are indicated.

Keywords:

  • ideal;
  • variety;
  • Gröbner basis;
  • system of equations;
  • projective space