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Coherent functors and families of space curves

  • Robin Hartshorne
Conferenze
  • 57 Downloads

Abstract

We give a summary of Auslander's theory of coherent functors and its application to the study of flat families in projective three-space. This is joint work with M. Martin-Deschamps and D. Perrin. Full details will appear in the paper [3], [4], [5], [6].

Keywords

Noetherian Ring Projective Resolution Coherent Sheaf Closed Subscheme Exact Functor 
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References

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    AUSLANDER M., “Coherent functors”, Proc. Conf. Categorial Algebra, La Jolla 1965, Springer, New York (1966), 189–231.Google Scholar
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    HARTSHORNE R., “Algebraic Geometry”, Springer, New York (1977)MATHGoogle Scholar
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    HARTSHORNE R., “Coherent functors”, Advances in Math.140 (1998) 44–94MATHCrossRefMathSciNetGoogle Scholar
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    HARTSHORNE R., MARTIN-DESCHAMPS M., PERRIN D., “Un Theoreme de Rao pour les families de courbes gauches” (to appear) J. of AlgebraGoogle Scholar
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    HARTSHORNE R., MARTIN-DESCHAMPS M., PERRIN D., “Construction de familles minimales de courbes gauches”, (to appear) Pacific J. of Math.Google Scholar
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    HARTSHORNE R., MARTIN-DESCHAMPS M., PERRIN D., “Triades et familles de courbes gauches”, (to appear) Math. AnnalenGoogle Scholar
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    MARTIN-DESCHAMPS M., PERRIN D., “Sur la classification des courbes gauches”, Asterisque184–185 (1990)Google Scholar
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Copyright information

© Birkhäuser-Verlag 1997

Authors and Affiliations

  • Robin Hartshorne
    • 1
  1. 1.Università di California BerkeleyBerkeleyUSA

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