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The augmented base locus of real divisors over arbitrary fields

dc.creatorBirkar, Caucher
dc.date.accessioned2016-06-26
dc.date.accessioned2018-11-24T23:26:50Z
dc.date.available2016-08-05T08:09:06Z
dc.date.available2018-11-24T23:26:50Z
dc.date.issued2016-07-08
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/256977
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3895
dc.description.abstractWe show that the augmented base locus coincides with the exceptional locus (i.e., null locus) for any nef $\Bbb R$-Cartier divisor on any scheme projective over a field (of any characteristic). Next we prove a semi-ampleness criterion in terms of the exceptional locus generalizing a result of Keel. We also discuss some problems related to augmented base loci of log divisors.
dc.languageen
dc.publisherSpringer
dc.publisherMathematische Annalen
dc.titleThe augmented base locus of real divisors over arbitrary fields
dc.typeArticle


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