4 papers · 1 filter
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 and looks for a common lower bound on the quotients , where runs over the…
On -sequences and surfaces at infinity
C. Galindo, F. Monserrat, C. -J. Moreno-Ávila +1
In most cases the semigroup at infinity of a curve with only one place at infinity is generated by a -sequence. This sequence provides geometrical information on suc…
Algebraic integrability with bounded genus
Carlos Galindo, Francisco Monserrat, Elvira Pérez-Callejo
We provide an algorithm which decides whether a polynomial foliation on the complex plane has a polynomial first integral of genus . Except in…
The cone of curves and the Cox ring of rational surfaces over Hirzebruch surfaces
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila
Let be a rational surface obtained by blowing up at a configuration of infinitely near points over a Hirzebruch surface . We prove that there exist…