SU\G(𝔸)/K·U

A counterexample to the “composition conjecture"

Fedor Pakovich

Type: Article

Publication Date: 2002-06-13

Citations: 39

DOI: https://doi.org/10.1090/s0002-9939-02-06755-2

Abstract

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.

Locations

  • Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (38)

Action Title Year Authors
+ The monodromy problem and the tangential center problem 2010 Colin Christopher
Pavao Mardešić
+ Persistent and tangential center problem and abelian integrals in dimension zero 2011 Amelia Álvarez Sánchez
José Luis Bravo
Pavao Mardešić
+ PDF Chat Generalized ‘second Ritt theorem’ and explicit solution of the polynomial moment problem 2013 Fedor Pakovich
+ The solution of the Composition Conjecture for Abel equations 2013 Anna Cima
Armengol Gasull
Francesc Mañosas
+ PDF Chat Проблема монодромии и инфинитезимальная проблема фокуса 2010 К Кристофер
Colin Christopher
Павао Мардешич
Pavao Mardešić
+ On the composition conjecture for a class of rigid systems 2019 Zhengxin Zhou
Yuexin Yan
+ On polynomials orthogonal to all powers of a given polynomial on a segment 2005 Fedor Pakovich
+ An explicit bound of the number of vanishing double moments forcing composition 2013 Anna Cima
Armengol Gasull
Francesc Mañosas
+ A simple solution of some composition conjectures for Abel equations 2012 Anna Cima
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+ Local bifurcations of limit cycles, Abel equations and Liénard systems 2004 Jean–Pierre Françoise

Works Cited by This (4)

Action Title Year Authors
+ Polynomials with Special Regard to Reducibility 2000 Andrzej Schinzel
+ Center conditions, compositions of polynomials and moments on algebraic curves 1999 M. Briskin
Jean–Pierre Françoise
Yosef Yomdin
+ Abel Equations: Composition Conjectures and the Model Problem 2000 Colin Christopher
+ Center conditions III: Parametric and model center problems 2000 M. Briskin
Jean–Pierre Françoise
Yosef Yomdin