1. The number of zeroes of a polynomial over a finite field 1 2. Interpretation in terms of zeta functions 3 2.1. Eigenvalues in the smooth case 4 2.2. Some easy examples 5 3. The Newton polygon 7 3.1. Newton polygons in families 8 4. Abstract Hodge polygons and Newton polygons 9 5. Results of Deligne, Katz, Mazur and Ogus 10 6. Some special cases 11 6.1. Abelian varieties 11 6.2. Curves 12 Ref...