An introduction to wonderful varieties with many examples of type F4

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We give an introduction to the theory of wonderful G-varieties, with many examples when G is simple of type F4. We present results and open problems about these varieties: on their classification, on their isotropy groups, on morphisms between them, and on their relations with the representation theory of G.
v1 64 pages; v2 65 pages, new introduction, more references, some small reformulations and corrections

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