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Lower and upper bounds for nef cones

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Gibney, A. and Maclagan, Diane (2011) Lower and upper bounds for nef cones. International Mathematics Research Notices, Vol.2012 (No.14). pp. 3224-3255. doi:10.1093/imrn/rnr121

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Official URL: http://dx.doi.org/10.1093/imrn/rnr121

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Abstract

The nef cone of a projective variety Y is an important and often elusive invariant. In this paper, we construct two polyhedral lower bounds and one polyhedral upper bound for the nef cone of Y using an embedding of Y into a toric variety. The lower bounds generalize the combinatorial description of the nef cone of a Mori dream space, while the upper bound generalizes the F-conjecture for the nef cone of the moduli space Graphic to a wide class of varieties.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: International Mathematics Research Notices
Publisher: Oxford University Press
ISSN: 1073-7928
Official Date: 2011
Dates:
DateEvent
2011Published
Volume: Vol.2012
Number: No.14
Number of Pages: 32
Page Range: pp. 3224-3255
DOI: 10.1093/imrn/rnr121
Status: Peer Reviewed
Publication Status: Published
Funder: National Science Foundation (NSF)
Grant number: DMS-0509319, DMS-0500386

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