On contributions of embedded components to intersection theory, a first approach
On generation of jets for vector bundles.
We introduce and study the k-jet ampleness and the k-jet spannedness for a vector bundle, E, on a projective manifold. We obtain different characterizations of projective space in terms of such positivity properties for E. We compare the 1-jet ampleness with different notions of very ampleness in the literature.
On K-spanned embeddings of projectiv manifolds.
On Postulation of Curves in IP4.
On the 2 Very Ampleness of the Adjoint Bundle.
On the embedding of 1-convex manifolds with 1-dimensional exceptional sets.
On the hypersurfaces containing a general projective curve
On the intersection multiplicity of improper components in algebraic geometry
On the superadditivity of secant defects
Plongements d'espaces homogènes.
Plongements d'espaces symétriques algébriques : une classification
Projektive Einbettung komplexer Mannigfaltigkeiten.
Quelques plongements projectifs non speciaux de surfaces rationnelles.
Remarks on the Nagata Conjecture
2000 Mathematics Subject Classification: 14C20, 14E25, 14J26.The famous Nagata Conjecture predicts the lowest degree of a plane curve passing with prescribed multiplicities through given points in general position. We explain how this conjecture extends naturally via multiple point Seshadri constants to ample line bundles on arbitrary surfaces. We show that if there exist curves of unpredictable low degree, then they must have equal multiplicities in all but possibly one of the given points. We...
Representation of the Hirzebruch-Kleinschmidt varieties by quadrics.
Seshadri positive submanifolds of polarized manifolds
Let Y be a submanifold of dimension y of a polarized complex manifold (X, A) of dimension k ≥ 2, with 1 ≤ y ≤ k−1. We define and study two positivity conditions on Y in (X, A), called Seshadri A-bigness and (a stronger one) Seshadri A-ampleness. In this way we get a natural generalization of the theory initiated by Paoletti in [Paoletti R., Seshadri positive curves in a smooth projective 3-fold, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 1996, 6(4), 259–274] (which...
Some remarks on compactifications of commutative algebraic groups.
The Extension of Regular and Rational Embeddings.
The Formal Hodge Filtration.
The Maximal Rank Conjecture for Non-Special Curves in Ipn.