Compactifications of C2 x C*.
Compactifications of C3 with reducible boundary divisor.
Connectedness Properties of Polynomial Maps Between Affine Spaces.
Contractions rationnelles des variétés algébriques
Convex bodies and algebraic geometry [Book]
Correspondence homomorphisms for singular varieties
We study certain kinds of geometric correspondences between (possibly singular) algebraic varieties and we obtain comparison results regarding natural filtrations on the homology of varieties.
Correspondencias divisoriales entre esquemas relativos.
En este trabajo se estudian las correspondencias divisoriales entre dos esquemas relativos. Una correspondencia divisorial es una correspondencia algebraica entre los puntos de un esquema X y las clases de equivalencia lineal de divisores de otro esquema Y. Se consideran correspondencias triviales las que asignan a cada punto toda la variedad y las inversas de éstas. Por tanto las correspondencias divisoriales módulo las triviales son los divisores del producto módulo, módulo los divisores que provienen...
CR singular immersions of complex projective spaces.
Cycles of isotropic subspaces and formulas for symmetric degeneracy loci
Cycles of polynomial mappings in several variables.
Déformations équisingulières des germes de courbes gauches réduites
Démonstration géométrique d'une propriété de la transformation par rayons vecteurs réciproques.
Die Abbildung einer Fläche vierter Ordnung mit einer Doppelcurve zweiten Grades, welche aus zwei sich schneidenden unendlich nahen Geraden besteht
Dominating the varieties of general type.
Dynamical Systems for Rational Normal Curves.
Effective nonvanishing, effective global generation
We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
Endomorphisms of symbolic algebraic varieties
The theorem of Ax says that any regular selfmapping of a complex algebraic variety is either surjective or non-injective; this property is called surjunctivity and investigated in the present paper in the category of proregular mappings of proalgebraic spaces. We show that such maps are surjunctive if they commute with sufficiently large automorphism groups. Of particular interest is the case of proalgebraic varieties over infinite graphs. The paper intends to bring out relations between model theory,...
Errata-Corrigé : «Contractions rationnelles des variétés algébriques»
Estimates of the number of rational mappings from a fixed variety to varieties of general type
First we find effective bounds for the number of dominant rational maps between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type , where , is the canonical bundle of and are some constants, depending only on .Then we show that for any variety there exist numbers and with the following properties:For any threefold of general type the number of dominant rational maps is bounded above by .The number of threefolds , modulo birational...
Examples of birationality of pluricanonical maps