12 citations · 28 across the 11 of their papers we have counts for
15 papers
Mori Dream Bonds and -actions
Lorenzo Barban, Eleonora A. Romano, Luis E. Solá Conde +1
We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and -actions on polarized pairs which are bor…
Geometry of multigraded rings and embeddings of toric varieties
Alex Küronya, Stefano Urbinati
We use homogeneous spectra of multigraded rings to construct toric embeddings of a large family of projective varieties which preserve some of the birational geometry of the underl…
Newton-Okounkov bodies and Toric Degenerations of Mori dream spaces via Tropical compactifications
Elisa Postinghel, Stefano Urbinati
Given a smooth Mori dream space we construct a model dominating all the small -factorial modifications via tropicalization. This construction allows us to recover a…
Iitaka fibrations for vector bundles
Ernesto C. Mistretta, Stefano Urbinati
A vector bundle on a smooth projective variety, if it is generically generated by global sections, yields a rational map to a Grassmannian, called Kodaira map. We investigate the a…
Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs
Eric Katz, Stefano Urbinati
The theory of Newton-Okounkov bodies attaches a convex body to a line bundle on a variety equipped with flag of subvarieties. This convex body encodes the asymptotic properties of…
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…
On the ampleness and bigness of non-integral divisors
Stefano Urbinati
Given a Weil non-integral divisor , it is natural to associate it the line bundle of its integral part . In this work we study which of the classical charact…
Numerical tropical line bundles and toric b-divisors
Carla Novelli, Stefano Urbinati
We study the relationship between line bundles on tropical compactifications of a very affine variety and toric b-divisors on the associated tropical variety . B…
On positivity and base loci of vector bundles
Thomas Bauer, Sándor J Kovács, Alex Küronya +3
The aim of this note is to shed some light on the relationships among some notions of positivity for vector bundles that arose in recent decades. Our purpose is to study several of…
Minkowski decomposition and generators of the moving cone for toric varieties
Piotr Pokora, David Schmitz, Stefano Urbinati
We prove that for smooth projective toric varieties, the Okounkov body of a -invariant pseudo-effective divisor with respect to a -invariant flag decomposes as a finite Minko…
Ample Weil divisors
Alberto Chiecchio, Stefano Urbinati
We define and study positivity (nefness, amplitude, bigness and pseudo-effectiveness) for Weil divisors on normal projective varieties. We prove various characterizations, vanishin…
Valuation spaces and multiplier ideals on singular varieties
Sébastien Boucksom, Tommaso de Fernex, Charles Favre +1
We generalize to all normal complex algebraic varieties the valuative characterization of multiplier ideals due to Boucksom-Favre-Jonsson in the smooth case. To that end, we extend…
Log Terminal Singularities
Alberto Chiecchio, Stefano Urbinati
In this paper we give a new point of view for optimizing the definitions related to the study of singularities of normal varieties, introduced in [dFH09] and further studied in [Ur…
Divisorial models of normal varieties
Stefano Urbinati
We prove that the canonical ring of a canonical variety in the sense of de Fernex and Hacon is finitely generated. We prove that canonical varieties are klt if and only if R(-K_X)…
Discrepancies of non-$\Q$-Gorenstein varieties
Stefano Urbinati
We give an example of a non $\Q$-Gorenstein variety which is canonical but not klt, and whose canonical divisor has an irrational valuation. We also give an example of an irrationa…