2134/23953
Olivia Dumitrescu
Olivia
Dumitrescu
Elisa Postinghel
Elisa
Postinghel
Vanishing theorems for linearly obstructed divisors
Loughborough University
2017
Linear systems
Fat points
Base locus
Linear speciality
Effective cone
Mathematical Sciences not elsewhere classified
2017-02-01 14:39:40
Journal contribution
https://repository.lboro.ac.uk/articles/journal_contribution/Vanishing_theorems_for_linearly_obstructed_divisors/9387467
We study divisors on the blow-up of Pn at points in general position that are non-special with respect to the notion of linear speciality introduced in [6]. We describe the cohomology groups of their strict transforms via the blow-up of the space along their linear base locus. We extend the result to non-effective divisors that sit in a small region outside the effective cone. As an application, we describe linear systems of divisors in Pn blown-up at points in star configuration and their strict transforms via the blow-up of the linear base locus.