Positivity of divisors on blown-up projective spaces, II
PostinghelElisa
DumitrescuOlivia
2019
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.