Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: MSC category 16W60 ( Valuations, completions, formal power series and related constructions [See also 13Jxx] )

 Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2002 (vol 54 pp. 897)

Fortuny Ayuso, Pedro
 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

© Canadian Mathematical Society, 2015 : https://cms.math.ca/