Anıl Berkcan Türker
the proof is not left as an exercise
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Mumford, John Fogarty, Frances Clare Kirwan – Geometric invariant theory (1994, Springer)
Chapter 0. Preliminaries
Chapter 1. Fundamental theorems for the actions of reductive groups
Mumford, John Fogarty, Frances Clare Kirwan – Geometric invariant theory (1994, Springer)