Journal article
Cracked polytopes and Fano toric complete intersections
- Abstract:
- We introduce the notion of cracked polytope, and – making use of joint work with Coates and Kasprzyk—construct the associated toric variety X as a subvariety of a smooth toric variety Y under certain conditions. Restricting to the case in which this subvariety is a complete intersection, we present a sufficient condition for a smoothing of X to exist inside Y. We exhibit a relative anti-canonical divisor for this smoothing of X, and show that the general member is simple normal crossings.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 499.0KB, Terms of use)
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- Publisher copy:
- 10.1007/s00229-019-01149-2
Authors
- Publisher:
- Springer
- Journal:
- manuscripta mathematica More from this journal
- Volume:
- 163
- Issue:
- 1-2
- Pages:
- 165–183
- Publication date:
- 2019-09-16
- Acceptance date:
- 2019-09-10
- DOI:
- EISSN:
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1432-1785
- ISSN:
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0025-2611
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1047204
- UUID:
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uuid:707a59cf-ccd5-4d2b-b1ef-24e9733c37fa
- Local pid:
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pubs:1047204
- Source identifiers:
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1047204
- Deposit date:
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2019-08-23
Terms of use
- Copyright holder:
- Prince, T
- Copyright date:
- 2019
- Rights statement:
- © The Author(s) 2019. Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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