Advertisement

Introduction

  • Ulrich Görtz
  • Torsten Wedhorn

Abstract

Here the \( f_i \in k[X_1 ,...,X_n ] \) are polynomials in n variables with coefficients in a field k. The set of solutions is a subset \( V(f_1 ,...,f_r ) \) of \( k^n \). Polynomial equations are omnipresent in and outside mathematics, and have been studied since antiquity. The focus of algebraic geometry is studying the geometric structure of their solution sets.

Keywords

Manifold Topo Paral Fermat 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden 2010

Authors and Affiliations

  • Ulrich Görtz
    • 1
  • Torsten Wedhorn
    • 2
  1. 1.Institute of Experimental MathematicsUniversity Duisburg-EssenEssenGermany
  2. 2.University of PaderbornDepartment of MathematicsPaderbornGermany

Personalised recommendations