Quartic K3 surfaces without nontrivial automorphisms
نویسنده
چکیده
For any field k we fix an algebraic closure of k, denoted by k. For a variety X ⊂ P k we set X = X×k k, we say thatX is smooth ifX is regular, and we let AutX denote the group of k-automorphisms ofX, while LinX denotes the group of linear automorphisms of X , i.e., automorphisms induced by a linear transformation of the coordinates of P. The following theorem was proved by Poonen, see [Po2], Thm. 1.6.
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