7 papers · 1 filter
Note about holomorphic maps on a compact Riemann surface
Lucio Guerra
Note to a paper of M. Tanabe concerning the classical theorem of M. De Franchis and F. Severi
On Abelian subvarieties of bounded degree in a polarized Abelian variety
Lucio Guerra
If A is an Abelian variety, endowed with a polarization L, we study the function N_A(t) which counts the number of Abelian subvarieties S in A such that for the induced polarizatio…
Elliptic curves of bounded degree in a polarized Abelian variety
Lucio Guerra
For a polarized complex Abelian variety A, of dimension g>1, we study the function N_A(t) counting the number of elliptic curves in A with degree bounded by t. We describe elliptic…
Parametrization of rational maps on a variety of general type, and the finiteness theorem
Lucio Guerra, Gian Pietro Pirola
In a previous paper, we provided some update in the treatment of the finiteness theorem for rational maps of finite degree from a fixed variety to varieties of general type. In the…
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…
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…
Siegel coordinates and moduli spaces for morphisms of abelian varieties
Lucio Guerra
We describe the moduli spaces of morphisms between polarized complex abelian varieties. The discrete invariants, derived from a Poincare' decomposition of morphisms, are the types…