• Ulrich Görtz
  • Torsten Wedhorn


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.


Manifold Topo Paral Fermat 
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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

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