Foliations on \(\mathbb{CP}^2\) of degree 2 with degenerate singularities

DOI10.1007/s00574-013-0020-zzbMath1297.37026OpenAlexW2085362279MaRDI QIDQ380975

Claudia R. Alcántara

Publication date: 15 November 2013

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

Full work available at URL: https://doi.org/10.1007/s00574-013-0020-z

zbMATH Keywords

stratificationsingular pointholomorphic foliation

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (6)

A family of foliations with one singularity ⋮ Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\) ⋮ On the GIT-stability of foliations of degree 3 with a unique singular point ⋮ Stratification of the space of foliations on \(\mathbb{CP}^2\) ⋮ Classification of Foliations on CP^2 of degree 3 with Degenerate Singularities ⋮ On the classification of foliations of degree three with one singularity

Cites Work

• Classic geometry of certain quadratic foliations
• The good quotient of the semi-stable foliations of \(\mathbb {CP}^{2}\) of degree \(1\)
• Desingularizations of varieties of nullforms
• Instability in invariant theory
• GEOMETRIC INVARIANT THEORY FOR HOLOMORPHIC FOLIATIONS ON ℂℙ² OF DEGREE 2
• On the Stability of Pencils of Cubic Curves
• Geometric Invariant Theory
• The cone of Hilbert nullforms
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