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On constructible sets and dimension of fibers

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In this paper, we compare the dimension of a constructible set with the dimension of its inverse image under morphisms of finite type of noetherian Jacobson schemes.

Abstract

In this paper, we compare the dimension of a constructible set with the dimension of its inverse image under morphisms of finite type of noetherian Jacobson schemes.

참고문헌 (8)

  1. A. Borel, "Linear Algebraic Groups" (1991), Springer-Verlag
  2. H. Cartan, "Chevalley, Geometrie Algebrique", Seminaire Henri Cartan, Exp, (7) (1955), Secretariat Math.
  3. "Geometry of Representations of Algebras, Lecture notes"[URL]
  4. U. Gortz, "Algebraic Geometry I: Schemes with Examples and Exercises" (2010), Vieweg+Teubner Verlag
  5. A. Grothendieck, "Elements de geometrie algebrique IV", Inst. Hautes Etudes Sci. Publ. Math, 28, pp.5~255 (1966)
  6. J. Harris, "Algebraic Geometry" (1995), Springer-Verlag
  7. I. Kaplansky, "Commutative Rings" (1974), The University of Chicago Press
  8. H. Schoutens, "Constructible invariants", J. Algebra, 304(2), pp.1059~1089 (2006)

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