Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$
Commutative Algebra
2026-04-30 v1
Abstract
We analyze the weight diagram associated with foliations on the complex projective plane through the Hilbert-Mumford criterion in Geometric Invariant Theory, focusing in particular on invariants such as the algebraic multiplicity and the existence of invariant curves.
Keywords
Cite
@article{arxiv.2604.26737,
title = {Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$},
author = {P. RubÍ Pantaleón-Mondragón},
journal= {arXiv preprint arXiv:2604.26737},
year = {2026}
}