3 papers
math.AG2008
On the finiteness theorem for rational maps on a variety of general type
Lucio Guerra, Gian Pietro Pirola
The dominant rational maps of finite degree from a fixed variety to varieties of general type, up to birational isomorphisms, form a finite set. This has been known as the Iitaka-S…
math.DG2006
Monodromy of constant mean curvature surface in hyperbolic space
Gian Pietro Pirola
We give a global version of the Bryant representation of surfaces of constant mean curvature one (cmc-1) in hyperbolic space. This allows to set the associated non-abelian period p…
math.AG2006
On rational maps from a general surface in P^3 to surfaces of general type
Lucio Guerra, Gian Pietro Pirola
We study the dominant rational maps from a general surface in P^{3} to surfaces of general type. We prove restrictions on the target surfaces, and special properties of the rationa…