A counterexample to the “composition conjecture"

By F. Pakovich. 2002

48 citations recorded by the source corpus.

In this note we construct a class of counterexamples to the composition conjecture concerning an infinitesimal version of the center problem for the polynomial Abel equation in the complex domain.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/816d027f53cd8f0142e991d7e321da91cde93ba5

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In Algebra and Number Theory

1. M. Briskin
2. N. Roytvarf
3. Y. Yomdin
4. F. Pakovich
5. Mikhail E. Muzychuk

In Geometry and Topology

1. M. Briskin
2. N. Roytvarf
3. Y. Yomdin
4. F. Pakovich
5. Mikhail E. Muzychuk

In Statistical and Nonlinear Physics

1. M. Briskin
2. N. Roytvarf
3. Y. Yomdin
4. Mikhail E. Muzychuk
5. F. Pakovich

Citations in the corpus

• Solution of the polynomial moment problem (2007, background): “Namely, it was shown in [18] that if P (z) has several ‘compositional right factors’ W (z) such that W (a) = W (b), then it may happen that the sum of reducible solutions corresponding to these factors is a non-reducible solution.”
• Center conditions at infinity for Abel differential equations (2010, methodology): “Indeed, by [49] the second system of the Moment equations is satisfied on each of these two components, while p D .”