16 citations · 16 across the 4 of their papers we have counts for
4 papers
b-divisorial valuations and Berkovich positivity functions
Joaquim Roé, Stefano Urbinati
We prove semicontinuity properties for local positivity invariants of big and nef divisors. The usual definition of Seshadri constant and asymptotic order of vanishing along a subv…
Boundedness Results for Planar Linear Systems Assuming The Segre-Harbourne-Gimigliano-Hirschowitz Conjecture
Ciro Ciliberto, Rick Miranda, Joaquim Roé
Let be the projective plane blown up at general points. In this paper we give several consequences of the Segre-Harbourne-Gimigliano-Hirschowitz Conjecture, that…
Quadric cones on the boundary of the Mori cone for very general blowups of the plane
Ciro Ciliberto, Rick Miranda, Joaquim Roé
We show the existence of cones over 8-dimensional rational spheres at the boundary of the Mori cone of the blow-up of the plane at very general points. This gives eviden…
Variations on Nagata's Conjecture
C. Ciliberto, B. Harbourne, R. Miranda +1
In this paper we discuss some variations of Nagata's conjecture on linear systems of plane curves. The most relevant concerns non-effectivity (hence nefness) of certain rays, which…