English

Bounds on the degrees of vector fields

Commutative Algebra 2024-03-18 v1 Algebraic Geometry Dynamical Systems

Abstract

In this article, we study the generalized Poincare problem from the opposite perspective, by establishing lower bounds on the degree of the vector field in terms of invariants of the variety.

Keywords

Cite

@article{arxiv.2403.09870,
  title  = {Bounds on the degrees of vector fields},
  author = {Marc Chardin and S. Hamid Hassanzadeh and Claudia Polini and Aron Simis and Bernd Ulrich},
  journal= {arXiv preprint arXiv:2403.09870},
  year   = {2024}
}

Comments

51 pages

R2 v1 2026-06-28T15:20:56.904Z