The Stacks project

Exercise 109.57.2 (Theorems). Precisely state a nontrivial fact discussed in the lectures related to each item.

  1. on birational invariance of pluri-genera of varieties,

  2. being an affine morphism is a local property,

  3. the topology of a scheme theoretic fibre of a morphism, and

  4. valuative criterion of properness.

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