PENEGINI M.

In this paper we give an asymptotic bound of the cardinality of Zariski multiples of particular irreducible plane singular curves. These curves have only nodes and cusps as singularities and are obtained as branched curves of ramified covering of the plane by surfaces isogenous to a product of curves with group (Z/2Z)k. The knowledge of the...

In this paper we study the pluricanonical maps of minimal projective 3-folds of general type with geometric genus 1, 2 and 3. We go in the direction pioneered by Enriques and Bombieri, and other authors, pinning down, for low projective genus, a finite list of exceptions to the birationality of some pluricanonical map. In particular, apart from...

We study a family of surfaces of general type with pg= q= 2 and K2= 7 , originally constructed by C. Rito in [35]. We provide an alternative construction of these surfaces, that allows us to describe their Albanese map and the corresponding locus M in the moduli space of surfaces of general type. In particular we prove that M is an open subset,...

In this paper we study the cohomology of smooth projective complex surfaces S of general type with invariants pg = q = 2 and surjective Albanese morphism. We show that on a Hodge-theoretic level, the cohomology is described by the cohomology of the Albanese variety and a K3 surface X that we call the K3 partner of S. Furthermore, we show that...

We study triple covers of K3 surfaces, following Miranda (1985, American Journal of Mathematics 107, 1123-1158). We relate the geometry of the covering surfaces with the properties of both the branch locus and the Tschirnhausen vector bundle. In particular, we classify Galois triple covers computing numerical invariants of the covering surface...

We apply Borcea-Voisin's construction and give new examples of Calabi- Yau 4-folds Y, which admit an elliptic fibration onto a smooth 3-fold V, whose singular fibers of type I5 lie above a del Pezzo surface dP ⊂ V. These are relevant models for F-theory according to Beasley et al. (2009a, 2009b). Moreover, we give the explicit equations of some...