Results 41 to 50 of about 7,311 (162)
On non-Kupka points of codimension one foliations on ℙ3
Anais da Academia Brasileira de CiênciasWe study the singular set of a codimension one holomorphic foliation on ℙ 3 . We find a local normal form for these foliations near a codimension two component of the singular set that is not of Kupka type.
OMEGAR CALVO-ANDRADE +2 more
doaj +1 more source
Residues of singular holomorphic foliations
, 1989 Holomorphic foliations with singularities are considered. In this context, a singularity, or a singular locus, can be described as follows: in a fiber bundle \(\{\) \(F\to E\to B\}\) (with appropriate structure), or in a sheaf over B (with appropriate structure), let a section X be given over \(B-S_ 0\), with \(\overline{B-S_ 0}=B\).
Sinan Sertöz
openalex +4 more sources
Fibrations of genus two on complex surfaces
, 2011 We consider fibrations of genus 2 over complex surfaces. The purpose of this paper is primarily to provide a geometric description of the possible structures of the fibration on a neighborhood of a singular fiber.
A. Seidenberg +10 more
core +3 more sources
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Dicritical nilpotent holomorphic foliations
Discrete & Continuous Dynamical Systems - A, 2018 14 pages. Several mistakes corrected from the previous version.
Fernández-Sánchez, Percy +2 more
openaire +4 more sources
K\"ahler manifolds with homothetic foliations by curves
, 2012 The aim of this paper is to classify compact, simply connected K\"ahler manifolds which admit totally geodesic, holomorphic complex homothetic foliation by curves.Comment: 19 pages.
Baird +17 more
core +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
Reeb components of leafwise complex foliations and their symmetries II [PDF]
, 2015 We study the group of leafwise holomorphic smooth automorphisms of Reeb components of leafwise complex foliation which are obtained by a certain Hopf construction.
Horiuchi, Tomohiro
core +3 more sources
Lehmann-Suwa residues of codimension one holomorphic foliations and applications
, 2019 Let $\mathcal{F}$ be a singular codimension one holomorphic foliation on a compact complex manifold $X$ of dimension at least three such that its singular set has codimension at least two. In this paper, we determine Lehmann-Suwa residues of $\mathcal{F}$
Fernández-Pérez, Arturo +1 more
core +1 more source
Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source