1 citations · 1 across the 6 of their papers we have counts for
10 papers
On the smallest numerical semigroups closed under affine maps
Amelia Álvarez, Carlos-Jesús Moreno-Ávila, Ignacio Ojeda
We study numerical semigroups generated by the orbit of under the affine map , where , , , and . This ex…
Nef divisors of surfaces given by pencils at infinity
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila +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}…
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…
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…
On the valuative Nagata conjecture
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila +1
We provide several equivalent conditions for a plane divisorial valuation of a smooth projective surface to be minimal with respect to an ample divisor. These conditions involve a…