Desingularizations of plane vector fields

Cano, F.

doi:10.1090/S0002-9947-1986-0837799-3

Desingularizations of plane vector fields

Author: F. Cano
Journal: Trans. Amer. Math. Soc. 296 (1986), 83-93
MSC: Primary 14D05; Secondary 14B05, 32B30
DOI: https://doi.org/10.1090/S0002-9947-1986-0837799-3
MathSciNet review: 837799
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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.

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