6 papers · 1 filter
The Picard number of fibred Mori dream surfaces
Federico Fallucca, Roberto Pignatelli, Francesco Polizzi
Let be a smooth complex projective surface endowed with a fibration onto a smooth projective curve . We prove that, if is a Mori dream space (or, more…
A minimality criterion for surfaces of general type with applications to product-quotient surfaces
Federico Fallucca
We provide a numerical criterion to find the curves on a surface of general type that are contracted to its minimal model. We then apply this approach to product-quotient surfaces,…
Some rational subvarieties of moduli spaces of stable vector bundles
Sonia Brivio, Federico Fallucca, Filippo F. Favale
Let X be a smooth complex irreducible projective variety of dimension and be an ample line bundle on . In this paper, we construct families of -stable vector…
On Rigid Varieties Isogenous to a Product of Curves
Federico Fallucca, Christian Gleissner, Noah Ruhland
In this note, we study rigid complex manifolds that are realized as quotients of a product of curves by a free action of a finite group. They serve as higher-dimensional analogues…
On the classification of product-quotient surfaces with , and their canonical map
Federico Fallucca
In this work we present new results to produce an algorithm that returns, for any fixed pair of natural integers and , all regular surfaces of general type with self-i…
Examples of surfaces with canonical maps of degree , , , and
Federico Fallucca
In this note we present examples of complex algebraic surfaces with canonical maps of degree , , , and . They are constructed as quotients of a product of two…