We give a birational reduction of singularities for one dimensional foliations in ambient
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Let X be an analytic vector field on a real analytic m-dimensional manifold M. Consider an
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Let G be a classical complex Lie group, P any parabolic subgroup of G, and X= G/P the
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Let F be a holomorphic one-dimensional foliation on Pn such that the components of its
singular locus Σ are curves Ci and points pj. We determine the number of pj, counted with …

Here we state a conjecture concerning a local version of Brunella's alternative: any
codimension one foliation in without germ of invariant surface has a neighborhood of the …

Let $\mathcal {D} $ be a one dimensional foliation on a projective space, that is, an invertible
subsheaf of the sheaf of sections of the tangent bundle. If the singularities of $\mathcal {D} …

Unlike honest arithmetic, function field arithmetic comes equipped with a derivative, so
differential algebra is a more accurate description. As such if K is the field of meromorphic …

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BABY GEOGRAPHY AND MORDELLICITY OF SURFACES Michael McQuillan 1 Introduction
Page 1 Geom. Funct. Anal. Vol. 26 (2016) 337–357 DOI: 10.1007/s00039-016-0356-9 …

Este texto sirvió de base para el curso Introducción a la Geometría Analítica Local, impartido
en la Pontificia Universidad Católica del Perú, en el marco de las actividades de la Cátedra …