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8 papers · 1 filter
Hilbert-Chow morphism for non commutative Hilbert schemes and moduli spaces of linear representations
Federica Galluzzi, Francesco Vaccarino
Let be a commutative ring and let be a commutative algebra. The aim of this paper is to define and discuss some connection morphisms between schemes associated to the r…
The Euler characteristic as a polynomial in the Chern classes
Cristina Bertone
In this paper we obtain some explicit expressions for the Euler characteristic of a rank n coherent sheaf F on P^N and of its twists F(t) as polynomials in the Chern classes c_i(F)…
A splitting criterion for vector bundles on blowing ups of the plane
Edoardo Ballico, Francesco Malaspina
Let be the blowing-up of distinct points and a vector bundle on . Here we give a cohomological criterio which is equivalent to $E \cong f_s^…
A Few Splitting Criteria for Vector Bundles
Francesco Malaspina
We prove a few splitting criteria for vector bundles on a quadric hypersurface and Grassmannians. We give also some cohomological splitting conditions for rank 2 bundles on multipr…
Complete intersections on general hypersurfaces
E. Carlini, L. Chiantini, A. V. Geramita
We ask when certain complete intersections of codimension can lie on a generic hypersurface in $\PP^n$. We give a complete answer to this question when in terms o…
Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology
E. Ballico, F. Malaspina
Here we study vector bundles on the Hirzebruch surface such that their twists by a spanned, but not ample, line bundle have natural cohomol…