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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. 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 |
|---|---|
| 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 |
| Volume: | Vol.2012 |
| Number: | No.14 |
| Number of Pages: | 32 |
| Page Range: | pp. 3224-3255 |
| Identification Number: | 10.1093/imrn/rnr121 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Funder: | National Science Foundation (NSF) |
| Grant number: | DMS-0509319, DMS-0500386 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48581 |
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