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arXiv:2504. 18472v1 [math. CV] 25 Apr 2025 PAULO SAD ABSTRACT It is presented an example of a holomorphic foliation of a non-algebraizable surface which is topologically equivalent to an algebraic foliation In this note we show in a specific example how to change an algebraic foliation to another holomorphic foliation which is topologically but not holomorphically equivalent
EMBEDDED CURVES AND FOLIATIONS - w3. impa. br HOSSEIN MOVASATI AND PAULO SAD Abstract We prove the existence of regular foliations with a pre-scribed tangency divisor in neighborhoods of negatively embedded holomorphic curves; this is related to a linearization theorem due to Grauert We give also examples of neighborhoods which can not be linearized
Curves of zero self-intersection and Foliations Paulo Sad June 17, 2011 Abstract We study the holonomy group of a holomorphic foliation in a sur-face along a compact leaf It is shown that linearization of a neigh-borhood of the curve implies strong restrictions in those groups We deal in this paper with suspensions along holomorphic curves of pseu-
On Dicritical Foliations and Halphen Pencils As an application it is shown that certain foliations are in fact Halphen pen-cils of elliptic curves The results follow from Miyaoka’s semipositivity theorem, combined with recent developments on the birational geometry of foliations Mathematics Subject Classification (2000): 37F75 1 – Introduction
TOPOLOGICAL INVARIANTS AND EQUIDESINGULARIZATION FOR . . . They define a complex one-dimensional foliation J^z of °U with singularities at the zeros of Z The purpose of this paper is to exhibit several topological invariants of these foliations near a singular point
folha rosto elet 2014 - Archive. org Paulo Sad Títulos Publicados: • Análise Real, vol 1: Funções de uma Variável – Elon Lages Lima • EDP Um Curso de Graduação – Valéria Iório • Curso de Álgebra, Volume 1 – Abramo Hefez • Álgebra Linear – Elon Lages Lima • Introdução às Curvas Algébricas Planas – Israel Vainsencher
Non-algebraizable neighborhoods of curves - hal. science MAYCOL FALLA LUZA, FRANK LORAY, AND PAULO SAD ABSTRACT We provide several families of compact complex curves embedded in smooth complex surfaces such that no neighborhood of the curve can be embedded in an algebraic surface Different constructions are proposed, by patching neighborhoods of curves in