Articles with "foliations degree" as a keyword



Homogeneous Convex Foliations of Degree 6

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Published in 2025 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-025-03005-y

Abstract: In this paper, we study homogeneous convex foliations on the complex projective plane P2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {P}^2$$\end{document}. A foliation is called convex if all of its leaves, except… read more here.

Keywords: document; foliations degree; convex foliations; homogeneous convex ... See more keywords

GIT quotient of holomorphic foliations on ℂℙ2 of degree 2 and quartic plane curves

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Published in 2024 at "Forum Mathematicum"

DOI: 10.1515/forum-2024-0043

Abstract: Abstract We study the quotient variety of the space of foliations on ℂ ⁢ ℙ 2 {\mathbb{CP}^{2}} of degree 2 up to change of coordinates. We find the intersection Betti numbers of this variety. As… read more here.

Keywords: betti numbers; quartic plane; plane curves; foliations degree ... See more keywords