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Positivity of divisors on blown-up projective spaces, II
journal contribution
posted on 2019-04-02, 12:47 authored by Elisa Postinghel, Olivia DumitrescuWe 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 Kapranov’s model: we show that all of them are nef.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of AlgebraCitation
POSTINGHEL, E. and DUMITRESCU, O., 2019. Positivity of divisors on blown-up projective spaces, II. Journal of Algebra, 529, pp. 226-267.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This paper was accepted for publication in the journal Journal of Algebra and the definitive published version is available at https://doi.org/10.1016/j.jalgebra.2019.02.041.Acceptance date
2019-03-21Publication date
2019-03-26ISSN
0021-8693Publisher version
Language
- en