6 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…
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…