Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$

Fuente: arXiv
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Main Author: Pantaleón-Mondragón, P. RubÍ
Format: Preprint
Published: 2026
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author Pantaleón-Mondragón, P. RubÍ
author_facet Pantaleón-Mondragón, P. RubÍ
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_26737
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$
Pantaleón-Mondragón, P. RubÍ
Commutative Algebra
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.
title Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$
topic Commutative Algebra
url https://arxiv.org/abs/2604.26737