Newton polygons, curves on torus surfaces, and the converse Weil theorem

ContentsIntroduction §1. Newton polygons, the Pascal relation, and the Vieta relation §2. Newton polygons and Weil numbers §3. Parametrization of one-dimensional orbits on a torus surface §4. Curves on a torus surface §5. Polygons without interior integer-valued points §6. Polygon ΔD with an interior integer-valued point §7. Polygon ΔD without interior integer-valued points §8. Meromorphic vector functions on compact curves §9. Refinement of Weil's theorem §10. Abel's theorem and the Vieta relation §11. Singularities of the characteristic curve and Newton polygons Bibliography