1. CJM 2002 (vol 54 pp. 897)
|The Valuative Theory of Foliations |
This paper gives a characterization of valuations that follow the singular infinitely near points of plane vector fields, using the notion of L'H\^opital valuation, which generalizes a well known classical condition. With that tool, we give a valuative description of vector fields with infinite solutions, singularities with rational quotient of eigenvalues in its linear part, and polynomial vector fields with transcendental solutions, among other results.
Categories:12J20, 13F30, 16W60, 37F75, 34M25
2. CJM 1998 (vol 50 pp. 1189)