Fibrés vectoriels topologiques de rang élevé sur une hypersurface
Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières
For a Nonclosing Field, Every Algebraic Variety is a Hypersurface, or All of Space.
For a Nonclosing Field, Every Algebraic Variety is a Hypersurface, or All of Space. (Short Communication).
Halphen pencils on weighted Fano threefold hypersurfaces
On a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.
Hodge conjecture for cubic 8-folds.
Homology and cohomology of hypersurfaces with quadratic singular points in generic position
Le théorème de Bertini en famille
On majore la dimension de l’ensemble des hypersurfaces de dont l’intersection avec une variété projective intègre fixée n’est pas intègre. Les majorations obtenues sont optimales. Comme application, on construit, quand c’est possible, des hypersurfaces dont les intersections avec toutes les variétés d’une famille de variétés projectives intègres sont intègres. Le degré des hypersurfaces construites est explicite.
Low pole order frames on vertical jets of the universal hypersurface
For low order jets, it is known how to construct meromorphic frames on the space of the so-called vertical -jets of the universal hypersurfaceparametrizing all projective hypersurfaces of degree . In 2004, for , Siu announced that there exist two constants and such that the twisted tangent bundleis generated at every point by its global sections. In the present article, we establish this property outside a certain exceptional algebraic subset defined by the vanishing of certain Wronskians,...
Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres.
Nice modular varieties.
Non-deformability of entire curves in projective hypersurfaces of high degree
In this article, we prove that there does not exist a family of maximal rank of entire curves in the universal family of hypersurfaces of degree in the complex projective space . This can be seen as a weak version of the Kobayashi conjecture asserting that a general projective hypersurface of high degree is hyperbolic in the sense of Kobayashi.
O jisté ploše bikvadratické, jež souvisí s theorií komplexu os rotačních ploch kuželových jdoucích třemi danými body
On codimension-two subvarieties of hypersurfaces.
On inflection points, monomial curves, and hypersurfaces containing projective curves.
On limiting rational curves.
On meromorphic functions with maximal defect sum
The purpose of this article is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.
On nonary cubic forms: II.
On the deficiency of certain surfaces
On the multiplicity of a quasi-homogeneous isolated singularity.