3 citations · 3 across the 2 of their papers we have counts for
10 papers
Linear Congruences and hyperbolic Systems of conservation Laws
Pietro De Poi, Emilia Mezzetti
S. I. Agafonov and E. V. Ferapontov have introduced a construction that allows naturally associating to a system of partial differential equations of conservation laws a congruence…
On linear spaces of skew-symmetric matrices of constant rank
Laurent Manivel, Emilia Mezzetti
We describe the space of projective planes of complex skew-symmetric matrices of order six and constant rank four. We prove that it has four connected components, all of dimension…
Some remarks on varieties with degenerate Gauss image
Emilia Mezzetti, Orsola Tommasi
We consider projective varieties with degenerate Gauss image whose focal hypersurfaces are non-reduced schemes. Examples of this situation are provided by the secant varieties of S…
On the Hilbert scheme of Palatini threefolds
Maria Lucia Fania, Emilia Mezzetti
We study the Hilbert scheme of Palatini threefolds X in P^5. We prove that such a scheme has an irreducible component containing X which is birational to the Grassmannian G(3,14) a…
On quadrisecant lines of threefolds in P^5
Emilia Mezzetti
We study smooth threefolds of the projective space of dimension 5 whose quadrisecant lines don't fill up the space. We give a complete classification of those threefolds X whose on…
On projective varieties of dimension n+k covered by k-spaces
Emilia Mezzetti, Orsola Tommasi
We study families of linear spaces in projective space whose union is a proper subvariety X of the expected dimension. We establish relations between configurations of focal points…