-homotopy theory.
0-cycles de degré 0 sur les surfaces fibrées en coniques.
1-motivi di varietà proiettive semplicemente connesse e scoppiamenti
2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
3-dimensional sundials
R. Hartshorne and A. Hirschowitz proved that a generic collection of lines on ℙn, n≥3, has bipolynomial Hilbert function. We extend this result to a specialization of the collection of generic lines, by considering a union of lines and 3-dimensional sundials (i.e., a union of schemes obtained by degenerating pairs of skew lines).
3-folds of general type with
In questo lavoro vengono costruite famiglie di 3-folds algebriche e non singolari di tipo generale tali che l'invariante sia il minimo possibile rispetto al genere geometrico , quando si suppone che il morfismo canonico sia birazionale. Per tali 3-folds vale la relazione lineare inoltre l'immagine del morfismo canonico é una varietà di Castelnuovo di .
3-Instantons et réseaux de quadriques.
4-folds with numerically effective tangent bundles and second Betti numbers greater than one.
A 4₃ configuration of lines and conics in ℙ⁵
Studying the connection between the title configuration and Kummer surfaces we write explicit quadratic equations for the latter. The main results are presented in Theorems 8 and 16.
A bound of the degree of some rational surfaces in .
A Cancellation Theorem for Projective Modules in the Metastable Range.
A Castelnuovo bound for smooth surfaces.
A classical complex analyst encounters a post-modern mathematical object.
A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
A converse to the Andreotti-Grauert theorem
The goal of this paper is to show that there are strong relations between certain Monge-Ampère integrals appearing in holomorphic Morse inequalities, and asymptotic cohomology estimates for tensor powers of holomorphic line bundles. Especially, we prove that these relations hold without restriction for projective surfaces, and in the special case of the volume, i.e. of asymptotic -cohomology, for all projective manifolds. These results can be seen as a partial converse to the Andreotti-Grauert...
A counterexample to a conjecture on linear systems on .
A criterion for extending meromorphic functions.
A Criterion for Flatness of Hodge Bundles over Curves and Geometrie Applications.
A criterion of openness of a family of nef line bundles.
A Decomposability Criterion for Algebraic 2-Bundles on Projective Spaces.