46 citations · 171 across the 27 of their papers we have counts for
6 papers · 1 filter
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…
Lectures on the topological recursion for Higgs bundles and quantum curves
Olivia Dumitrescu, Motohico Mulase
The paper aims at giving an introduction to the notion of quantum curves. The main purpose is to describe the new discovery of the relation between the following two disparate subj…
Edge contraction on dual ribbon graphs and 2D TQFT
Olivia Dumitrescu, Motohico Mulase
We present a new set of axioms for 2D TQFT formulated on the category of cell graphs with edge-contraction operations as morphisms. We construct a functor from this category to the…
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…