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- Centre National de la Recherche ScientifiqueFR105 papers
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6 papers · 1 filter
Vector Fields, Invariant Varieties and Linear Systems
Jorge Vitorio Pereira
We investigate the interplay between invariant varieties of vector fields and the inflection locus of linear systems with respect to the vector field. Among the consequences of suc…
The Castelnuovo-Mumford regularity of an integral variety of a vector field on projective space
Eduardo Esteves
The Castelnuovo-Mumford regularity r of a complex, projective variety V is an upper bound for the degrees of the hypersurfaces necessary to cut out V. In this note we give a bound…
Complex bounds for multimodal maps: bounded combinatorics
Daniel Smania
We proved the so called complex bounds for multimodal, infinitely renormalizable analytic maps with bounded combinatorics: deep renormalizations have polynomial-like extensions wit…
An analogous of Jouanolou's Theorem in positive characteristic
Jorge Vitorio Pereira
We show that a generic vector field on an affine space of positive characteristic admits an invariant algebraic hypersurface. This contrast with Jouanolou's Theorem that shows that…
Limit canonical systems on curves with two components
Eduardo Esteves, Nivaldo Medeiros
In the 80's D. Eisenbud and J. Harris considered the following problem: ``What are the limits of Weierstrass points in families of curves degenerating to stable curves?'' But for t…
Global Stability for Holomorphic Foliations in Kaehler Manifolds
Jorge Vitorio Pereira
We prove the following theorem for Holomorphic Foliations in compact complex kaehler manifolds: if there is a compact leaf with finite holonomy, then every leaf is compact with fin…