9 citations · 16 across the 10 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…
On the degree of curves with prescribed multiplicities and bounded negativity
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila +1
We provide a lower bound on the degree of curves of the projective plane passing through the centers of a divisorial valuation of with prescribed…
Discrete equivalence of non-positive at infinity plane valuations
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila
Non-positive at infinity valuations are a class of real plane valuations which have a nice geometrical behavior. They are divided in three types. We study the dual graphs of non-po…
Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila
We consider flags , where is an exceptional divisor defining a non-positive at infinity divisorial valuation of a Hirzebruch surfac…
Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces
Carlos Galindo, Francisco Monserrat, Carlos-Jesús Moreno-Ávila
We consider rational surfaces defined by divisorial valuations of Hirzebruch surfaces. We introduce the concepts of non-positivity and negativity at infinity for these valu…