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On Ehrhart Polynomials of Lattice Triangles
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 32018 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 25, no 1, article id P1.3Article in journal (Refereed) Published
Abstract [en]

The Ehrhart polynomial of a lattice polygon P is completely determined by the pair (b(P), i(P)) where b(P) equals the number of lattice points on the boundary and i(P) equals the number of interior lattice points. All possible pairs (b(P), i(P)) are completely described by a theorem due to Scott. In this note, we describe the shape of the set of pairs (b(T), i(T)) for lattice triangles T by finding infinitely many new Scott-type inequalities.

Place, publisher, year, edition, pages
2018. Vol. 25, no 1, article id P1.3
Keywords [en]
Lattice triangles, Ehrhart polynomial, h*-vector, toric surfaces, sectional genus, Scott's inequality
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-156702ISI: 000432155700004OAI: oai:DiVA.org:su-156702DiVA, id: diva2:1210968
Available from: 2018-05-30 Created: 2018-05-30 Last updated: 2018-05-30Bibliographically approved

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