Vicente Lorenzo

collaborators

4 papers

math.AG2024

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…

math.AG2021

Geography of minimal surfaces of general type with $Z_{2}^{2}$ -actions and the locus of Gorenstein stable surfaces

Vicente Lorenzo

In this note the geography of minimal surfaces of general type admitting $Z_{2}^{2}$ -actions is studied. More precisely, it is shown that Gieseker's moduli space $\mathfrak{M}…

math.AG2021

$Z_{3}$ -actions on Horikawa surfaces

Vicente Lorenzo

Minimal algebraic surfaces of general type $X$ such that $K_{X}^{2} = 2 χ (O_{X}) - 6$ are called Horikawa surfaces. In this note $Z_{3}$ -actions on Horikawa surfaces are stud…

math.AG2021

$Z_{2}^{2}$ -actions on Horikawa surfaces

Vicente Lorenzo

Minimal algebraic surfaces of general type $X$ such that $K_{X}^{2} = 2 χ (O_{X}) - 6$ or $K_{X}^{2} = 2 χ (O_{X}) - 5$ are called Horikawa surfaces. In this note we study $\mathbb{Z}^…

Infinitely many new sequences of surfaces of general type with maximal Picard number converging to the Severi line

Geography of minimal surfaces of general type with Z22​-actions and the locus of Gorenstein stable surfaces

Z3​-actions on Horikawa surfaces

Z22​-actions on Horikawa surfaces

Geography of minimal surfaces of general type with $Z_{2}^{2}$ -actions and the locus of Gorenstein stable surfaces

$Z_{3}$ -actions on Horikawa surfaces

$Z_{2}^{2}$ -actions on Horikawa surfaces