On the GIT-stability of foliations of degree 3 with a unique singular point

DOI10.1007/s00574-023-00379-zarXiv2304.04352OpenAlexW4390108866MaRDI QIDQ6189156

Juan Vásquez-Aquino, Petra Rubi Pantaleon Mondragon, Abel Castorena

Publication date: 12 January 2024

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.04352

zbMATH Keywords

stabilitygeometric invariant theorysingular pointholomorphic foliation

Mathematics Subject Classification ID

Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Algebraic geometry (14-XX)

Cites Work

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• Foliations on \(\mathbb{CP}^2\) of degree 2 with degenerate singularities
• Classic geometry of certain quadratic foliations
• Foliations on \(\mathbb{CP}^2\) with a unique singular point without invariant algebraic curves
• Stability of meromorphic vector fields in projective spaces
• The good quotient of the semi-stable foliations of \(\mathbb {CP}^{2}\) of degree \(1\)
• Equations de Pfaff algébriques
• Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\)
• Foliations on \(\mathbb{P}^2\) with only one singular point
• Polarity with respect ot a foliation and Cayley-Bacharach Theorems
• Classification of Foliations on CP^2 of degree 3 with Degenerate Singularities
• Geometric Invariant Theory
• Invariant theory of foliations of the projective plane
• Birational Geometry of Foliations

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