Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Linear systems of surfaces with double points: Terracini revisited
No full textIn this paper we study the linear systems of degree m hypersurfaces in the n-dimensional projective space with d fixed points of multiplicity e in general position, focusing on the case n=3, e=2. The goal is to compute the dimension of such systems
Stability of deformed osculating hyperruled surfaces
No full textThe mean curvature vector plays an important role in the investigation of crystallographie point of view of the minimal surfaces
A study on fuzzy differential game
No full textIn this paper we study a fuzzy differential game problem, in which the information obtained by any player may contain some sort of uncertainties, which are usually difficult to characterize either deterministically or stochastically. A necessary condition for optimal strategy of an open loop Nash-equilibrium solution is derived and an illustrative example is presented
Some adjunction properties of ample vector bundles II
No full textLet E be a vector bundle of rank r on a projective variety X of dimension n with only log-terminal singularities. We classify the couples (E,X) satisfying some conditions. We give some applications in case of sectional genus one
Spazi planari metrici
No full textWe call planar space a triple (S,L,P), where (S,L) is a finite linear space non reduced to a line and P is a family of proper subspaces of (S,L), called planes, such that every plane contains three non-collinear points and through three non-collinear points there is a unique plane of P.In (S,L,P) we define a metric which allows us to study the perspectivities between the triangles of (S,L,P)
On the transversality of restricted linear systems
No full textIn this paper we prove a generalization of the Transversality Lemma first proved by Hirschowitz [5] and later by Ciliberto and Miranda [1]. We plan to use this lemma to calculate the dimensions of the linear systems of plane curves with homogeneous vanishing conditions, using a degeneration technique developed by Ciliberto and Miranda
(R, P)-absolutely summing dual operators on the projective tensor products of spaces
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Regularity for the solutions of double obstacle problems involving nonlinear elliptic operators in the Heisenberg group
No full textWe study the Hölder continuity of the homogeneous gradient of the weak solutions of double obstacle problems involving nonlinear elliptic operators in the Heisenberg group
On the Hilbert scheme of curves of degree d and genus {d-3 \choose 2}-1
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