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.

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View Exercise 111.61.2 as pdf