FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 4, PAGES 53-64

**Theorem on the density of separatrix connections for polynomial
foliations in $$****C**P^{2}

D. S. Volk

Abstract

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In this paper, we prove that in the space of polynomial foliations of
a fixed degree of the complex two-dimensional space, foliations
with separatrix connection, i.e., foliations in which any two distinct
point have a common separatrix, are dense.
The main tool of the proof is the analysis of the monodromy group of
the foliation in a neighborhood of the infinitely distant point
of the ambient projective space.

Location: http://mech.math.msu.su/~fpm/eng/k06/k064/k06404h.htm

Last modified: February 17, 2007