Complete algebraic vector fields on affine surfaces,Part I |
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Authors: | Julio C Rebelo |
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Institution: | (1) Department of Mathematics, PUC-Rio, Marques de S. Vicente 225, CEP 22453-900 Gavea-Rio de Janeiro RJ, Brazil;(2) Institute for Mathematical Sciences, SUNY at Stony Brook, 11794-3660 Stony Brook, NY |
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Abstract: | In this work we study the singularities at infinity of algebraic vector fields in dimension 2.These singularities will be classified under a mild assumption. The general problem is also reduced to the study of the combinatorics
of certain resolutions which will be developed in Part II. Our main results are local and therefore can be carried over more
general surfaces. Whereas we deal with ℂ -complete vector fields, the results also apply to ℝ-complete ones thanks to a theorem of Forstneric 7]. |
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Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 34A20 32M25 32J15 |
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