2134/37403
Elisa Postinghel
Olivia Dumitrescu
Positivity of divisors on blown-up projective spaces, II
2019
Loughborough University
Globally generated divisors
Abundance conjecture
F-conjecture
2019-04-02 12:47:54
article
https://repository.lboro.ac.uk/articles/journal_contribution/Positivity_of_divisors_on_blown-up_projective_spaces_II/9377579
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.