Bounds on the degrees of vector fields

2024/03/14 by Marc Chardin, Seyed Hamid Hassanzadeh, Chardin, Marc +7
Engineering · Mathematics · #14F10 #32S65 #Advanced Differential Equations and Dynamical Systems #Advanced Numerical Analysis Techniques #Advanced Optimization Algorithms Research #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Dynamical Systems (math.DS) #FOS: Mathematics #Primary 13N05 #Secondary 13H10

paper · pdf · doi:10.48550/arxiv.2403.09870

openalex publication_date 2024/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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