On the combinatorial classification of toric log del Pezzo surfaces

Kasprzyk, Alexander M. and Kreuzer, Maximilian and Nill, Benjamin (2010) On the combinatorial classification of toric log del Pezzo surfaces. LMS Journal of Computation and Mathematics, 13 . pp. 33-46. ISSN 1461-1570

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Abstract

Toric log del Pezzo surfaces correspond to convex lattice polygons containing the origin in their interior and having only primitive vertices. An upper bound on the volume and on the number of boundary lattice points of these polygons is derived in terms of the index l. Techniques for classifying these polygons are also described: a direct classification for index two is given, and a classification for all l<17 is obtained.

Item Type: Article
Additional Information: Peer-reviewed version of: Alexander M. Kasprzyk, Maximilian Kreuzer and Benjamin Nill (2010). On the combinatorial classification of toric log del Pezzo surfaces. LMS Journal of Computation and Mathematics, 13, pp 33-46. doi:10.1112/S1461157008000387.
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1112/S1461157008000387
Related URLs:
URLURL Type
https://www.lms.ac.uk/publications/journalsPublisher
Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 12 Nov 2015 12:00
Last Modified: 15 Sep 2016 19:47
URI: http://eprints.nottingham.ac.uk/id/eprint/30733

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