منابع مشابه
Logarithmic vector fields and hyperbolicity
Using vector fields on logarithmic jet spaces we obtain some new positive results for the logarithmic Kobayashi conjecture about the hyperbolicity of complements of curves in the complex projective plane. We are interested here in the cases where logarithmic irregularity is strictly smaller than the dimension. In this setting, we study the case of a very generic curve with two components of deg...
متن کاملLogarithmic Jets and Hyperbolicity 0. Introduction
We prove that the complement of a very generic curve of degree d at least equal to 15 in P is hyperbolic in the sens of Kobayashi (here, the terminology “very generic” refers to complements of countable unions of proper algebraic subsets of the parameter space). We first consider the Dethloff and Lu’s generalisation to the logarithmic situation of Demailly’s jet bundles. We study their base loc...
متن کامل3 Aleksandrov Surfaces and Hyperbolicity
Aleksandrov surfaces are a generalization of two-dimensional Rie-mannian manifolds, and it is known that every open simply connected Alek-sandrov surface is conformally equivalent either to the unit disc (hyperbolic case) or to the plane (parabolic case). We prove a criterion for hyperbolicity of Aleksandrov surfaces which have nice tilings and where negative curvature dominates. We then apply ...
متن کاملGeneric hyperbolicity of Aubry sets on surfaces
Given a Tonelli Hamiltonian of class C on the cotangent bundle of a compact surface, we show that there is an open dense set of potentials in the C topology for which the Aubry set is hyperbolic in its energy level.
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2007
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2307