Infinitesimal Center Problem on zero cycles and the composition conjecture
Dynamical Systems
2020-06-16 v1
Abstract
We study the analogue of the classical infinitesimal center problem in the plane, but for zero cycles. We define the displacement function in this context and prove that it is identically zero if and only if the deformation has a composition factor. That is, we prove that here the composition conjecture is true, in contrast with the tangential center problem on zero cycles. Finally, we give examples of applications of our results.
Cite
@article{arxiv.2006.07600,
title = {Infinitesimal Center Problem on zero cycles and the composition conjecture},
author = {A. Álvarez and J. L. Bravo and C. Christopher and P. Mardešić},
journal= {arXiv preprint arXiv:2006.07600},
year = {2020}
}
Comments
14 pages, 1 figure