D. Mumford’s Geometric Invariant Theory
We recall some basic definitions and results from geometric invariant theory, all contained in the first two chapters of D. Mumford’s book . For the statements which are used in this monograph, except for those coming from the theory of algebraic groups, such as the finiteness of the algebra of invariants under the action of a reductive group, we include proofs. Usually we just reproduce the arguments given by Mumford in  (hopefully without adding some inaccuracies). Other sources of inspiration are , ,  and .
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