16 citations · 17 across the 3 of their papers we have counts for
3 papers
math.AG2023
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…
math.AC2022★ 1 cited
Polynomial factorization over henselian fields
Maria Alberich-Carramiñana, Jordi Guàrdia, Enric Nart +3
Given a valued field and an irreducible polynomial , we survey the ideas of Ore, Maclane, Okutsu, Montes, Vaquié and Herrera-Olalla-Mahboub-Spivakovsky, leading…
math.AG2012★ 16 cited
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…