An example of two homeomorphic, nondiffeomorphic complete intersection surfaces.
An Example of Unirational Surfaces in Characteristic p.
An improved bound for the degree of smooth surfaces in not of general type
An improved Briancon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras.
An improved tableau criterion for Bruhat order.
An integral formula on submanifolds of domains of Cn..
A Bochner-Martinelli-Koppelman type integral formula on submanifolds of pseudoconvex domains in Cn is derived; the result gives, in particular, integral formulas on Stein manifolds.
An interpolation theorem in toric varieties
In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of germs of analytic hypersurfaces in a smooth projective toric variety to be interpolated by an algebraic hypersurface with a fixed class in the Picard group of .
An obstruction for smoothing of Gorenstein surface singularities.
Analytic functionals annihilated by ideals.
Anisotropic resultant. Complements and applications. (Résultant anisotrope. Compléments et applications.)
Anneaux d'invariants de groupes finis Intersections complètes
Anticanonical Models of Rational Surfaces.
Apolarity and its applications.
Appendix to : “smoothings of cusp singularities via triangle singularities”
Applications de Gauss et pléthysme
Les représentations irréductibles de sont décrites par les foncteurs de Schur, dont la composition définit le pléthysme. Sa compréhension est un problème important en théorie des invariants, ou bien en relation avec les représentations des groupes symétriques.Nous proposons dans cet article une approche géométrique du problème. Généralisant les plongements classiques de Veronese et de Segre, nous construisons des plongements de variétés de drapeaux dans d’autres variétés de drapeaux, sur lesquels...
Applications of iterated curve blow-up to set theoretic complete intersections in ...3.
Are rational curves determined by tangent vectors?
Let be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.
Are the Isolated Singularities of Complete Intersections Determined by Their Singular Subspaces?
Arithmetic Normality for Projective Embeddings of Flag Manifolds.
Arithmetic of 0-cycles on varieties defined over number fields
Let be a rationally connected algebraic variety, defined over a number field We find a relation between the arithmetic of rational points on and the arithmetic of zero-cycles. More precisely, we consider the following statements: (1) the Brauer-Manin obstruction is the only obstruction to weak approximation for -rational points on for all finite extensions (2) the Brauer-Manin obstruction is the only obstruction to weak approximation in some sense that we define for zero-cycles of degree...