Corrects the list of 4D toric varieties with S6-actions over C and shows that maximal symmetric actions over suitable char-0 fields force the variety to be projective space except in dimension 2, where an infinite family of split and non-split S4-surfaces is classified via equivariant MMP and Galois
101, Cambridge University Press, Cambridge
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On Maximal Symmetries of Toric Varieties over Fields of Characteristic Zero
Corrects the list of 4D toric varieties with S6-actions over C and shows that maximal symmetric actions over suitable char-0 fields force the variety to be projective space except in dimension 2, where an infinite family of split and non-split S4-surfaces is classified via equivariant MMP and Galois