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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 ISSN 1073-7928.
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Official URL: http://dx.doi.org/10.1093/imrn/rnr121
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | International Mathematics Research Notices | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 1073-7928 | ||||
Official Date: | 2011 | ||||
Dates: |
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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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