Results 71 to 80 of about 7,311 (162)

On closed currents invariant by holomorphic foliations, I

, 2012
We consider closed positive currents invariant by a singular holomorphic foliation on an algebraic surface.
Rebelo, Julio C.
core   +1 more source

On the completeness of the space OC$\mathcal {O}_C$

Mathematische Nachrichten, Volume 298, Issue 8, Page 2740-2748, August 2025.
Abstract We explicitly prove the compact regularity of the LF$\mathcal {LF}$‐space of double sequences limk→(s⊗̂(ℓp)k)≅limk→(s⊗̂(c0)−k)$ {\lim _{k\rightarrow }} (s\widehat{\otimes }(\ell ^p)_{k}) \cong {\lim _{k\rightarrow }}(s\widehat{\otimes }(c_0)_{-k})$, 1≤p≤∞$1\le p\le \infty$.
Michael Kunzinger, Norbert Ortner
wiley   +1 more source

Thurston obstructions and tropical geometry

Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2404-2428, August 2025.
Abstract We describe an application of tropical moduli spaces to complex dynamics. A post‐critically finite branched covering φ$\varphi$ of S2$S^2$ induces a pullback map on the Teichmüller space of complex structures of S2$S^2$; this descends to an algebraic correspondence on the moduli space of point‐configurations of P1$\mathbb {P}^1$.
Rohini Ramadas
wiley   +1 more source

A topological algorithm for the Fourier transform of Stokes data at infinity

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract We give a topological description of the behaviour of Stokes matrices under the Fourier transform from infinity to infinity in a large number of cases of one level. This explicit, algorithmic statement is obtained by building on a recent result of T.
Jean Douçot, Andreas Hohl
wiley   +1 more source

General infinitesimal variations of the Hodge structure of ample curves in surfaces

Mathematische Nachrichten, Volume 298, Issue 7, Page 2282-2308, July 2025.
Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley   +1 more source

Nodal separators of holomorphic foliations [PDF]

Annales de l'Institut Fourier, 2018
We study a special kind of local invariant sets of singular holomorphic foliations called nodal separators. We define notions of equisingularity and topological equivalence for nodal separators as intrinsic objects and, in analogy with the celebrated theorem of Zariski for analytic curves, we prove the equivalence of these notions.
openaire   +3 more sources

Rigidity of certain holomorphic foliations [PDF]

Proceedings of the American Mathematical Society, 2006
There is a well-known rigidity theorem of Y. Ilyashenko for (singular) holomorphic foliations in C P 2 \mathbb {CP}^2 and also the extension given by Gómez-Mont and Ortíz-Bobadilla (1989). Here we present a different generalization of the result of Ilyashenko: some cohomological and (generic ...
openaire   +1 more source

Generalized Poincaré-Dulac Singularities of Holomorphic Foliations

Bulletin of the Iranian Mathematical Society
AbstractIn this paper, we study the analytic classification of a class of nilpotent singularities of holomorphic foliations in $$({\mathbb {C}}^2,0)$$ ( C 2 ,
Fernández Sánchez, Percy, Mozo Fernández, Jorge   +1 more
openaire   +3 more sources

Extensions and restrictions of holomorphic foliations [PDF]

, 2022
Mateus Gomes Figueira
openalex   +1 more source

Compact homogeneous Leviflat CR-manifolds. [PDF]

Complex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source