75 citations · 334 across the 43 of their papers we have counts for
4 papers · 1 filter
Restricted volumes on Kähler manifolds
Tristan C. Collins, Valentino Tosatti
We study numerical restricted volumes of (1,1) classes on compact Kahler manifolds, as introduced by Boucksom. Inspired by work of Ein-Lazarsfeld-Mustata-Nakamaye-Popa on restricte…
A singular Demailly-Paun theorem
Tristan C. Collins, Valentino Tosatti
We give a numerical characterization of the Kahler cone of a possibly singular compact analytic variety which is embedded in a smooth ambient space.
An extension theorem for Kähler currents
Tristan C. Collins, Valentino Tosatti
We prove an extension theorem for Kahler currents with analytic singularities in a Kahler class on a complex submanifold of a compact Kahler manifold.
Kähler currents and null loci
Tristan C. Collins, Valentino Tosatti
We prove that the non-Kahler locus of a nef and big class on a compact complex manifold bimeromorphic to a Kahler manifold equals its null locus. In particular this gives an analyt…