36 citations · 90 across the 7 of their papers we have counts for
7 papers
EPW sextics and Hilbert squares of K3 surfaces
Atanas Iliev, Carlo Madonna
We prove that the Hilbert square of a very general primitively polarized K3 surface S of degree , is birational to a double Eisenbud-P…
Curves and vector bundles on quartic threefolds
E. Arrondo, C. G. Madonna
In this paper we study ACM vector bundles $\E$ of rank on hypersurfaces $X_r \subset\Pj^4$ of degree . We consider here mainly the case of degree , whic…
On a classical correspondence between K3 surfaces II
Carlo Madonna, Viacheslav V. Nikulin
Let X be a K3 surface and H a primitive polarization of degree H^2=2a^2, a>1. The moduli space of sheaves over X with the isotropic Mukai vector (a,H,a) is again a K3 surface Y whi…
On a classical correspondence between K3 surfaces
Carlo Madonna, Viacheslav V. Nikulin
Let X be a K3 surface which is intersection of three (a net P^2) of quadrics in P^5. The curve of degenerate quadrics has degree 6 and defines a double covering of P^2 K3 surface Y…
A remark on K3s of Todorov type (0,9) and (0,10)
C. Madonna
Frequentely it happens that isogenous (in the sense of Mukai) K3 surfaces are partners of each other and sometimes they are even isomorphic. This is due, in some cases, to the (too…
ACM vector bundles on prime Fano threefolds and complete intersection Calabi Yau threefolds
C. G. Madonna
In this paper we derive a list of all the possible indecomposable normalized rank--two vector bundles without intermediate cohomology on the prime Fano threefolds and on the comple…