convex lattice polygons
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scholarly journals Convex lattice polygons with all lattice points visible

2021 ◽  
Vol 344 (1) ◽  
pp. 112161
Author(s):  
Ralph Morrison ◽  
Ayush Kumar Tewari
Keyword(s):  
Lattice Points ◽  
Convex Lattice ◽  
Convex Lattice Polygons ◽  
Lattice Polygons

scholarly journals On the combinatorial classification of toric log del Pezzo surfaces

2010 ◽  
Vol 13 ◽  
pp. 33-46 ◽  
Author(s):  
Alexander M. Kasprzyk ◽  
Maximilian Kreuzer ◽  
Benjamin Nill
Keyword(s):  
Upper Bounds ◽  
Lattice Points ◽  
Del Pezzo Surfaces ◽  
Convex Lattice ◽  
Combinatorial Classification ◽  
Del Pezzo ◽  
Convex Lattice Polygons ◽  
Log Del Pezzo Surfaces ◽  
Lattice Polygons

AbstractToric log del Pezzo surfaces correspond to convex lattice polygons containing the origin in their interior and having only primitive vertices. Upper bounds on the volume and on the number of boundary lattice points of these polygons are derived in terms of the indexℓ. Techniques for classifying these polygons are also described: a direct classification for index two is given, and a classification for allℓ≤16 is obtained.

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