On set theoretic complete intersections in IP3.
On set theoretic complete intersections in IP3 (Erratum).
On Singularities of the Curves Belonging to some linear system in P2.
On special projections of varieties: Epitome to a theorem of Beniamino Segre.
On the adjoint system to a very ample divisor on a surface and connected inequalities
Si caratterizzano alcune classi di superfici in relazione all’indice di autointersezione dell'aggiunto ad un divisore molto ampio.
On the adjoint system to a very ample divisor on a surface and connected inequalities
Siano: una superficie algebrica proiettiva complessa non singolare, un divisore canonico ed un divisore molto ampio su . Questo lavoro ha per oggetto lo studio dell'indice di autointersezione . Si dimostra, innanzitutto, la disuguaglianza , nell'ipotesi che la superficie ottenuta immergendo mediante il sistema lineare completo non sia uno scroll. Questa disuguaglianza è connessa con alcuni risultati di Sommese e Van de Ven sulla generazione del fascio . La dimostrazione della (I)...
On the adjunction theoretic classification of projective varieties.
On the arithmetic of certain intersections of two quadrics.
On the class of some projective varieties.
Some inequalities between the class and the degree of a smooth complex projective manifold are given. Application to the case of low sectional genus are supplied.
On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre
On the curves through an general point of a smooth surface in IP3.
On the dimension of secant varieties
In this paper we generalize Zak’s theorems on tangencies and on linear normality as well as Zak’s definition and classification of Severi varieties. In particular we find sharp lower bounds for the dimension of higher secant varieties of a given variety under suitable regularity assumptions on , and we classify varieties for which the bound is attained.
On the dual variety in characteristic 2
On the existence of components of the Noether-Lefschetz Locus with given codiemsnion.
On the existence of curves with maximal rank in Pn.
On the generation of certain bundles over P3.
On the gonality of curves in
Here we study the gonality of several projective curves which arise in a natural way (e.gċurves with maximal genus in , curves with given degree and genus for all possible , if and with large for arbitrary ).
On the graded Betti numbers for large finite subsets of curves
We prove a recent conjecture of S. Lvovski concerning the periodicity behaviour of top Betti numbers of general finite subsets with large cardinality of an irreducible curve C ⊂ ℙⁿ.
On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces
Here we show the existence of strong restrictions for the Hilbert function of zerodimensional curvilinear subschemes of P n with one point as support and with high regularity index.
On the Hilbert Scheme of Curves of Maximal Genus in a Projective Space.