36 citations · 52 across the 10 of their papers we have counts for
4 papers · 1 filter
Contact Invariants for Plane Curves in a Pencil
Ciro Ciliberto, Rick Miranda, Joaquim Roe
Let $\calP$ be a general pencil of curves of degree in the projective plane. In this paper we review the computation of the number of curves in $\calP$ that have a hyperflex li…
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…
Bounds on the Mordell-Weil rank of elliptic fibrations
Antonella Grassi, Rick Miranda, Kapil Paranjape +2
We prove that the Mordell-Weil group of a higher dimensional elliptic fibration naturally embeds into that of a suitable elliptic surface. We give sufficient conditions for the exi…
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…