On the combinatorial classification of toric log del Pezzo surfaces
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 th...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
London Mathematical Society
2010
|
| Online Access: | https://eprints.nottingham.ac.uk/30733/ |
| _version_ | 1848794046732959744 |
|---|---|
| author | Kasprzyk, Alexander M. Kreuzer, Maximilian Nill, Benjamin |
| author_facet | Kasprzyk, Alexander M. Kreuzer, Maximilian Nill, Benjamin |
| author_sort | Kasprzyk, Alexander M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:09:58Z |
| format | Article |
| id | nottingham-30733 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:09:58Z |
| publishDate | 2010 |
| publisher | London Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-307332024-08-15T15:33:24Z https://eprints.nottingham.ac.uk/30733/ On the combinatorial classification of toric log del Pezzo surfaces Kasprzyk, Alexander M. Kreuzer, Maximilian Nill, Benjamin 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. London Mathematical Society 2010 Article PeerReviewed Kasprzyk, Alexander M., 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 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7229856&fileId=S1461157008000387 doi:10.1112/S1461157008000387 doi:10.1112/S1461157008000387 |
| spellingShingle | Kasprzyk, Alexander M. Kreuzer, Maximilian Nill, Benjamin On the combinatorial classification of toric log del Pezzo surfaces |
| title | On the combinatorial classification of toric log del Pezzo surfaces |
| title_full | On the combinatorial classification of toric log del Pezzo surfaces |
| title_fullStr | On the combinatorial classification of toric log del Pezzo surfaces |
| title_full_unstemmed | On the combinatorial classification of toric log del Pezzo surfaces |
| title_short | On the combinatorial classification of toric log del Pezzo surfaces |
| title_sort | on the combinatorial classification of toric log del pezzo surfaces |
| url | https://eprints.nottingham.ac.uk/30733/ https://eprints.nottingham.ac.uk/30733/ https://eprints.nottingham.ac.uk/30733/ |