C. Galindo

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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…

math.AG2025

Linear weighted bounded negativity

We propose a linear version of the weighted bounded negativity conjecture. It considers a smooth projective surface $X$ over an algebraically closed field of characteristic zero an…

math.AG2024

On weighted bounded negativity for rational surfaces