Universitat Jaume I

output

19992026

most citedThe Magnus expansion and some of its applications

1.2k citations

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3 papers · 2 filters

math.AG2024

On weighted bounded negativity for rational surfaces

Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila

The weighted bounded negativity conjecture considers a smooth projective surface $X$ and looks for a common lower bound on the quotients $C^{2} / (D \cdot C)^{2}$ , where $C$ runs over the…

math.AG2024

Algebraic integrability with bounded genus

Carlos Galindo, Francisco Monserrat, Elvira Pérez-Callejo

We provide an algorithm which decides whether a polynomial foliation $F^{C^{2}}$ on the complex plane has a polynomial first integral of genus $g \neq = 1$ . Except in…

math.AG2024

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

Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila

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