Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON CONSTRUCTIBLE SETS AND DIMENSION OF FIBERS

  • Nguyen, Loc Quang (Department of Mathematics and Computer Science Hanoi National University of Education)
  • Received : 2017.09.15
  • Accepted : 2018.05.24
  • Published : 2018.10.31
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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.

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References

  1. A. Borel, Linear Algebraic Groups, second edition, Graduate Texts in Mathematics, 126, Springer-Verlag, New York, 1991.
  2. H. Cartan and C. Chevalley, Geometrie Algebrique, Seminaire Henri Cartan, Exp. No. 7, Secretariat Math., Paris, 1955-1956.
  3. W. Crawley-Boevey, Geometry of Representations of Algebras, Lecture notes, https://www.math.uni-bielefeld.de/-wcrawley/geomreps.pdf.
  4. U. Gortz and T. Wedhorn, Algebraic Geometry I: Schemes with Examples and Exercises, Vieweg+Teubner Verlag, Wiesbaden, 2010.
  5. A. Grothendieck and J. A. Dieudonne, Elements de geometrie algebrique IV, Inst. Hautes Etudes Sci. Publ. Math. 28 (1966), 5-255. https://doi.org/10.1007/BF02684343
  6. J. Harris, Algebraic Geometry, corrected reprint of the 1992 original, Graduate Texts in Mathematics, 133, Springer-Verlag, New York, 1995.
  7. I. Kaplansky, Commutative Rings, revised edition, The University of Chicago Press, Chicago, IL, 1974.
  8. H. Schoutens, Constructible invariants, J. Algebra 304 (2006), no. 2, 1059-1089. https://doi.org/10.1016/j.jalgebra.2006.04.021