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 in P n , these strict transforms are F-nef divisors on the moduli space M‾ 0,n+3 in a Kapranov's model: we show that all of them are nef. © 2019 Elsevier Inc. All rights reserved.
Positivity of divisors on blown-up projective spaces, II / Dumitrescu, O.; Postinghel, E.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 529:(2019), pp. 226-267. [10.1016/j.jalgebra.2019.02.041]
Positivity of divisors on blown-up projective spaces, II
Postinghel E.
2019-01-01
Abstract
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 in P n , these strict transforms are F-nef divisors on the moduli space M‾ 0,n+3 in a Kapranov's model: we show that all of them are nef. © 2019 Elsevier Inc. All rights reserved.| File | Dimensione | Formato | |
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