3 papers
math.AG2025
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.
math.AG2025
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…
math.AG2024
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…