activity
19922022
most citedProjective Degenerations of K3 Surfaces, Gaussian Maps, and Fano Threefolds

95 citations · 146 across the 28 of their papers we have counts for

collaborators

31 papers

math.AG2022

Coxeter theory for curves on blowups of

Olivia Dumitrescu, Rick Miranda

We investigate the study of smooth irreducible rational curves in , a general blowup of at general points, whose normal bundle splits as a direct sum of l…

math.AG2022

Irrational nef rays at the boundary of the Mori cone for very general blowups of the plane

Ciro Ciliberto, Rick Miranda, Joaquim Roé

In this paper we develop a technique for discovering (non-effective) irrational rays at the boundary of the Mori cone for linear systems on a general blowup of the plane, and give…

math.AG2021

The moduli space of rational elliptic surfaces of index two

Rick Miranda, Aline Zanardini

In this paper we construct a moduli space for marked rational elliptic surfaces of index two as a non-complete toric variety of dimension nine. We also construct compactifications…

math.AG2021

Non effective planar linear systems at the boundary of the Mori cone

Ciro Ciliberto, Rick Miranda

In this paper we prove that certain linear systems (and all their multiples) of plane curves with general base points and zero--self intersection are empty, thus exhibiting further…

math.AG2021

Examples of non--effective rays at the boundary of the Mori cone of blow--ups of the plane

Ciro Ciliberto, Rick Miranda

In this paper we prove that no multiple of the linear system of plane curves of degree with a point of multiplicity (with ) and simple ge…

math.AG2021

On -Curves in Blowups of

Olivia Dumitrescu, Rick Miranda

In this paper we study -curves with in the blown up projective space in general points. The notion of -curves was analyzed in the earl…