International audienceWe give explicit estimates for the volume of the Green-Griffiths jet differentials of any order on a toroidal compactification of a ball quotient. To this end, we first determine the growth of the logarithmic Green-Griffiths jet differentials on these objects, using a natural deformation of the logarithmic jet space of a given order, to a suitable weighted projective bundle. Then, we estimate the growth of the vanishing conditions that a logarithmic jet differential must satisfy over the boundary to be a standard one
We prove finite jet determination for (finitely) smooth CR diffeomorphisms of (finitely) smooth Levi...
The notion of a k-convex -support function for a toric variety X() is introduced. A criterion for a ...
We explain how Itô stochastic differential equations (SDEs) on manifolds may be defined using 2-jets...
International audienceWe give explicit estimates for the volume of the Green-Griffiths jet different...
We introduce the concept of directed orbifold, namely triples (X, V, D) formed by a directed algebra...
25 pagesWe define and study jet bundles in the geometric orbifold category. We show that the usual a...
49 pages, LatexInternational audienceWe generalize Demailly's construction of projective jet bundles...
Let X ⊂ Pn+1 be a smooth complex projective hypersurface. In this paper we show that, if the degree ...
Given a projective algebraic orbifold, one can define associated logarithmic and orbifold jet bundle...
Soit X (resp. D) une hypersurface projective lisse en pA(n+ 1) (resp. un diviseur irreductible lisse...
The formalism of jets is a coordinate-free description of the differential equations that holomorphi...
The definition of mixed jets includes the finite sequences of vertical vectors tangent to jet bundle...
L'objet d'étude de ce mémoire est la géométrie des courbes holomorphes entières à valeurs dans le co...
Following a suggestion made by J.-P. Demailly, for each k≥1, we endow, by an induction process, the ...
Take a graded nilmanifold with a Riemannian (resp. Sub-Riemannian) metric. Lift the metric on its un...
We prove finite jet determination for (finitely) smooth CR diffeomorphisms of (finitely) smooth Levi...
The notion of a k-convex -support function for a toric variety X() is introduced. A criterion for a ...
We explain how Itô stochastic differential equations (SDEs) on manifolds may be defined using 2-jets...
International audienceWe give explicit estimates for the volume of the Green-Griffiths jet different...
We introduce the concept of directed orbifold, namely triples (X, V, D) formed by a directed algebra...
25 pagesWe define and study jet bundles in the geometric orbifold category. We show that the usual a...
49 pages, LatexInternational audienceWe generalize Demailly's construction of projective jet bundles...
Let X ⊂ Pn+1 be a smooth complex projective hypersurface. In this paper we show that, if the degree ...
Given a projective algebraic orbifold, one can define associated logarithmic and orbifold jet bundle...
Soit X (resp. D) une hypersurface projective lisse en pA(n+ 1) (resp. un diviseur irreductible lisse...
The formalism of jets is a coordinate-free description of the differential equations that holomorphi...
The definition of mixed jets includes the finite sequences of vertical vectors tangent to jet bundle...
L'objet d'étude de ce mémoire est la géométrie des courbes holomorphes entières à valeurs dans le co...
Following a suggestion made by J.-P. Demailly, for each k≥1, we endow, by an induction process, the ...
Take a graded nilmanifold with a Riemannian (resp. Sub-Riemannian) metric. Lift the metric on its un...
We prove finite jet determination for (finitely) smooth CR diffeomorphisms of (finitely) smooth Levi...
The notion of a k-convex -support function for a toric variety X() is introduced. A criterion for a ...
We explain how Itô stochastic differential equations (SDEs) on manifolds may be defined using 2-jets...