A proof of Coleman's conjecture |
| |
| Authors: | Krzysztof Ko?odziejczyk Daria Olszewska |
| |
| Affiliation: | Institute of Mathematics and Computer Science, Wroc?aw University of Technology, Wybrze?e Wyspiańskiego 27, 50-370 Wroc?aw, Poland |
| |
| 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?2g-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=2g-v+10 is attained. |
| |
| Keywords: | 52C05 11H06 |
| 本文献已被 ScienceDirect 等数据库收录！ |
