Effective Field Theory and Algebraic Geometry

  • Michael D. Fried
  • Moshe Jarden
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 11)


Present fashion in field theory and algebraic geometry is to replace classical constructive proofs by elegant existence proofs. For example, it is rare for students to see an actual procedure for factoring polynomials in ℚ [X 1, ... , X n ] in the course of finding out that it is a unique factorization domain. But constructive factorization is the essential backbone of constructive demonstrations that every K-algebraic set is the union of finitely many K-varieties (i.e., Hilbert’s basis theorem) and that every K-variety can be normalized.


Algebraic Geometry Effective Field Theory Algebraic Closure Irreducible Factor Splitting Algorithm 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Michael D. Fried
    • 1
  • Moshe Jarden
    • 2
  1. 1.Mathematical DepartmentUniversity of FloridaGainsvilleUSA
  2. 2.School of Mathematical Sciences, Raymond and Beverly Sackler, Faculty of Exact SciencesTel Aviv UniversityRamat Aviv, Tel AvivIsrael

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