Galindo, Carlos; Monserrat Delpalillo, Francisco José; Moreno-Ávila, Carlos Jesús(Springer-Verlag, 2021-08)
[EN] 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-positive at infinity valuations and ...
Galindo, Carlos; Monserrat Delpalillo, Francisco José; Moreno-Ávila, Carlos-Jesús(Springer-Verlag, 2020-05)
[EN] We consider rational surfaces Z defined by divisorial valuations ¿ of Hirzebruch surfaces. We introduce concepts of non-positivity and negativity at infinity for these valuations and prove that these concepts admit ...
Galindo, Carlos; Monserrat Delpalillo, Francisco José; Moreno-Ávila, Carlos-Jesús; Pérez-Callejo, Elvira(Oxford University Press, 2023-08)
[EN] We provide a lower bound on the degree of curves of the projective plane P2 passing through the centers of a divisorial valuation ¿ of P2 with prescribed multiplicities, and an upper bound for the Seshadri-type constant ...