Desingularizations of plane vector fields-Reference-Cited by-同舟云学术

Desingularizations of plane vector fields

Published:1986 Issue:1 Volume:296 Page:83-93
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Cano F.

Abstract

The singularities of a plane vector field can be reduced under quadratic blowing ups. We describe a control method for the singularities of the vector field which works for ground fields of any characteristic and which has no essential obstruction for generalizing to higher dimensional cases.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-296-01/S0002-9947-1986-0837799-3/S0002-9947-1986-0837799-3.pdf

Reference7 articles.

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2. Forme normale d’une fonction sur une surface de caractéristique positive;Giraud, Jean;Bull. Soc. Math. France,1983

3. \bysame, Condition de Jung pour les revêtements radiciels de hauteur 1, Proc. Algebraic Geometry, Tokyo/Kyoto 1982, Lecture Notes in Math., vol. 1016, Springer-Verlag, 1983, pp. 313-333.

4. H. Hironaka, Desingularization of excellent surfaces, Advanced Science Seminar in Algebraic Geometry (Summer 1967), Mimeographed notes by B. Benett, Bowdoin College.

5. Characteristic polyhedra of singularities;Hironaka, Heisuke;J. Math. Kyoto Univ.,1967

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