15 citations · 76 across the 23 of their papers we have counts for
4 papers · 2 filters
Cones of effective divisors on the blown-up P^3 in general lines
Olivia Dumitrescu, Elisa Postinghel, Stefano Urbinati
We compute the facets of the effective cones of divisors on the blow-up of P^3 in up to five lines in general position. We prove that up to six lines these threefolds are weak Fano…
Positivity of divisors on blown-up projective spaces, I
Olivia Dumitrescu, Elisa Postinghel
We study -very ample, ample and semi-ample divisors on the blown-up projective space in a collection of points in general position. We establish Fujita's conjectu…
On Segre's bound for fat points in
Edoardo Ballico, Olivia Dumitrescu, Elisa Postinghel
For a scheme of fat points defined by the saturated ideal , the regularity index computes the Castelnuovo-Mumford regularity of the Cohen-Macaulay ring $R/\mathc…
On the effective cone of blown-up at points
Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel
We compute the facets of the effective and movable cones of divisors on the blow-up of at points in general position. Given any linear system of hypersurfaces…