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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.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…