%0 DATA
%A Elisa, Postinghel
%A Olivia, Dumitrescu
%D 2019
%T Positivity of divisors on blown-up projective spaces, II
%U https://repository.lboro.ac.uk/articles/journal_contribution/Positivity_of_divisors_on_blown-up_projective_spaces_II/9377579
%2 https://repository.lboro.ac.uk/ndownloader/files/16988945
%K Globally generated divisors
%K Abundance conjecture
%K F-conjecture
%X We construct log resolutions of pairs on the blow-up of the projective space in an arbitrary number of general points and we discuss the
semi-ampleness of the strict transforms. As an application we give an explicit
proof that the abundance conjecture holds for an infinite family of such pairs.
For n + 2 points, these strict transforms are F-nef divisors on the moduli
space M0,n+3 in a Kapranovâ€™s model: we show that all of them are nef.