The Stacks project

Exercise 111.61.2 (Theorems). Precisely but briefly state a nontrivial fact discussed in the lectures related to each item (if there is more than one then just pick one of them).

1. Riemann-Hurwitz theorem,

2. Clifford's theorem,

3. factorization of maps between smooth projective surfaces,

4. Hodge index theorem, and

5. Riemann hypothesis for curves over finite fields.