George Kempf

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George Rushing Kempf (born August 12, 1944 in Globe , Arizona , † July 16, 2002 in Lawrence , Kansas ) was an American mathematician who dealt with algebraic geometry and representation theory of algebraic groups.

George Kempf (left) with Sevin Recillas, Mexico City (1990s)

Life

Kempf studied at Johns Hopkins University with a bachelor's degree as well as at the University of Illinois at Urbana-Champaign and received his doctorate in 1970 under Steven Kleiman at Columbia University ( The singularity of certain varieties in the Jacobean of a curve ). In his dissertation he analyzed the singularities of sub-varieties of the Jacobi variety of an algebraic curve by adding the curve to itself r-times in the Jacobi variety (Riemann-Kempf singularity theorem).

He was a professor at Johns Hopkins University. There the Kempf Memorial Lectures were donated in his honor .

Fonts

  • Complex abelian varieties and theta functions , Springer Verlag 1991
  • Algebraic Varieties , Cambridge University Press 1993
  • with David Bryant Mumford , F. Knutsen, B. Saint-Donat: Toroidal embeddings , Volume 1, Lecture Notes in Mathematics, Springer Verlag 1973
  • On the geometry of a theorem of Riemann , Annals of Mathematics, Volume 98, 1973, pp. 178-185 (singularity theorem by Riemann and Kempf)
  • On Algebraic Curves , Journal für die Reine und Angewandte Mathematik, Volume 295, 1977, pp. 40-48 (new proof of the Riemann-Roch Theorem ), online
  • with Linda Ness: The length of vectors in representation spaces , in: Algebraic geometry (Proc. Summer Meeting, Univ. Copenhagen, Copenhagen, 1978), Lecture Notes in Math., 732, Springer-Verlag, 1979, pp. 233-243
  • Linear systems on homogeneous spaces , Annals of Mathematics, Volume 103, 1976, pp. 557-591 (Kempf's Vanishing Law)
  • Schubert methods with an application to algebraic curves , lecture script, Mathematisches Zentrum Amsterdam 1971
  • Abelian Integrals , Autonomous National University of Mexico 1983

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. Kempf Vanishing Theorem, Encyclopedia of Mathematics