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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
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: |
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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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