5 papers · 1 filter
Constructions for rational multiple planes
Ciro Ciliberto, Rick Miranda
A finite, normal cover $f: X\longrightarrow \bbP^2$ of degree (the case is well known and we do not consider it in this paper) is called \emph{simple}, if there is…
Rational elliptic surfaces with six singular double fibres
Ciro Ciliberto, Antonella Grassi, Rick Miranda +2
A rational elliptic surface with section is a smooth, rational, complex, projective surface that admits a relatively minimal fibration $f: \mathcal{X}\longrightarrow…
Non-cycle triple planes with branch curve of degree at most 10
Ciro Ciliberto, Rick Miranda
In this paper we classify normal non--cyclic triple covers of $\bbP^2$ with branch curve of degree at most 10.
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…
Variations on Pascal's Theorem
Ciro Ciliberto, Rick Miranda
In this paper we present a variety of statements that are in the spirit of the famous theorem of Pascal, often referred to as the Mystic Hexagon. We give explicit equations describ…