On the Number of Convex Lattice Polygons

DOI10.1017/S0963548300000341zbMath0798.52012MaRDI QIDQ4291189

János Pach, Imre Bárány

Publication date: 1 November 1994

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

zbMATH Keywords

areaequivalenceconvex lattice polygons

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

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Simplification of surface parametrizations --a lattice polygon approach, The limit shape of convex lattice polygons, On a question of V.~I.~Arnol'd, Modular hyperbolas, Bounds on area involving lattice size, Lattice size in higher dimensions, Minimum-perimeter intersecting polygons, Random points and lattice points in convex bodies, Elementary moves on lattice polytopes, Convex polygons in Cartesian products, Digital convex + unimodular mapping = 8-connected (all points but one 4-connected), On the classification of convex lattice polytopes, Lattice size and generalized basis reduction in dimension three, Lattice Size of Plane Convex Bodies

Cites Work

• Integer points on curves and surfaces
• Conditions for similarity to unitary and self-adjoint operators
• Invariant convex cones and orderings in Lie groups
• A Lower Bound for the Volume of Strictly Convex Bodies with many Boundary Lattice Points
• AN ASYMPTOTIC FORMULA IN THE THEORY OF PARTITIONS
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