Carlos-Jesús Moreno-Ávila

collaborators

4 papers

math.AC2026

On the smallest numerical semigroups closed under affine maps

Amelia Ãlvarez, Carlos-JesÃºs Moreno-Ãvila, Ignacio Ojeda

We study numerical semigroups $S_{a, b} (m)$ generated by the orbit of $m$ under the affine map $T_{a, b} (z) = a z + b$ , where $a \geq 2$ , $m > 1$ , $g cd (b, m) = 1$ , and $b \geq - (a - 2) m - 2$ . This ex…

math.AG2026

On $I^´$ -sequences and surfaces at infinity

C. Galindo, F. Monserrat, C. -J. Moreno-Ãvila +1

In most cases the semigroup at infinity $S$ of a curve $C$ with only one place at infinity is generated by a $I^´$ -sequence. This sequence provides geometrical information on $C$ su…

math.AG2026

Nef divisors of surfaces given by pencils at infinity

Carlos Galindo, Francisco Monserrat, Carlos-JesÃºs Moreno-Ãvila +1

We give generators for the nef cone and the cone of curves of rational surfaces obtained by blowing-up the complex projective plane at a set of points $\mathcal{B} \cup \mathcal{D}…

math.AG2025

The cone of curves and the Cox ring of rational surfaces over Hirzebruch surfaces

Carlos Galindo, Francisco Monserrat, Carlos-JesÃºs Moreno-Ãvila

Let $X$ be a rational surface obtained by blowing up at a configuration $C$ of infinitely near points over a Hirzebruch surface $F_{I^} ´$ . We prove that there exist…

On the smallest numerical semigroups closed under affine maps

On I^´-sequences and surfaces at infinity

Nef divisors of surfaces given by pencils at infinity

The cone of curves and the Cox ring of rational surfaces over Hirzebruch surfaces

On $I^´$ -sequences and surfaces at infinity