Abstract
Almost thirty years ago Coleman made a conjecture that for any convex lattice polygon with v vertices, g ( g ⩾ 1 ) interior lattice points and b boundary lattice points we have b ⩽ 2 g - v + 10 . In this note we give a proof of the conjecture. We also aim to describe all convex lattice polygons for which the bound b = 2 g - v + 10 is attained.
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