7 papers
Infinitely many new sequences of surfaces of general type with maximal Picard number converging to the Severi line
Nguyen Bin, Vicente Lorenzo
Examples of algebraic surfaces of general type with maximal Picard number are not abundant in the literature. Moreover, most known examples either possess low invariants, lie near…
Surfaces of general type with maximal Picard number near the Noether line
Nguyen Bin, Vicente Lorenzo
The first published non-trivial examples of algebraic surfaces of general type with maximal Picard number are due to Persson, who constructed surfaces with maximal Picard number on…
Numerical properties of exceptional divisors of birational morphisms of smooth surfaces
Vicente Lorenzo, Margarida Mendes Lopes, Rita Pardini
We make a very detailed analysis of the numerical properties of effective divisors whose support is contained in the exceptional locus of a birational morphism of smooth projective…
On the group of automorphisms of Horikawa surfaces
V. Lorenzo
Minimal algebraic surfaces of general type such that are called Horikawa surfaces. In this note the group of automorphisms of Horikawa surfaces is s…
Geography of minimal surfaces of general type with -actions and the locus of Gorenstein stable surfaces
Vicente Lorenzo
In this note the geography of minimal surfaces of general type admitting -actions is studied. More precisely, it is shown that Gieseker's moduli space $\mathfrak{M}…
-actions on Horikawa surfaces
Vicente Lorenzo
Minimal algebraic surfaces of general type such that are called Horikawa surfaces. In this note -actions on Horikawa surfaces are stud…
-actions on Horikawa surfaces
Vicente Lorenzo
Minimal algebraic surfaces of general type such that or are called Horikawa surfaces. In this note we study $\mathbb{Z}^…