Mathematics – Algebraic Geometry
Scientific paper
2008-10-13
LMS J. Comput. Math. 13 (2010) 33-46
Mathematics
Algebraic Geometry
16 pages
Scientific paper
10.1112/S1461157008000387
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.
Kasprzyk Alexander M.
Kreuzer Maximilian
Nill Benjamin
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