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Title: Vanishing theorems for linearly obstructed divisors
Authors: Dumitrescu, Olivia
Postinghel, Elisa
Keywords: Linear systems
Fat points
Base locus
Linear speciality
Effective cone
Issue Date: 2017
Publisher: © Elsevier
Citation: POSTINGHEL, E. and DUMITRESCU, O., 2017. Vanishing theorems for linearly obstructed divisors. Journal of Algebra, 477 (May), pp.312-359.
Abstract: 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.
Description: This paper was published in the journal Journal of Algebra and the definitive published version is available at http://dx.doi.org/10.1016/j.jalgebra.2017.01.006.
Sponsor: The authors thank the organisors of the Workshop on Perspectives and Emerging Topics in Algebra and Combinatorics -PEAKs 2013 (Austria), funded by DFG Conference Grant HA4383/6-1 for the hospitality during their stay that promoted and made this collaboration possible.
Version: Accepted for publication
DOI: 10.1016/j.jalgebra.2017.01.006
URI: https://dspace.lboro.ac.uk/2134/23953
Publisher Link: http://dx.doi.org/10.1016/j.jalgebra.2017.01.006
ISSN: 0021-8693
Appears in Collections:Published Articles (Maths)

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