Journal of Lie Theory
Vol. 13, No. 1, pp. 279--289 (2003)
Local integrating factors
Sebastian WalcherSebastian Walcher
Lehrstuhl A für Mathematik
Abstract: This is an investigation of local (analytic or formal) integrating factors near certain degenerate stationary points of plane analytic vector fields. The method is to use blow-ups and then apply known results from the non-degenerate case. The main result is that in general there is no formal integrating factor which is algebraic over the quotient field of the formal power series ring.
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Electronic fulltext finalized on: 22 Nov 2002. This page was last modified: 3 Jan 2003.