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Automorphisms of Drinfeld half-spaces over a finite field
Non-archimedean analytic geometry Berkovich spaces Drinfeld upper half-space birational transformations
2012/6/21
We show that the automorphism group of Drinfeld's half-space over a finite field is the projective linear group of the underlying vector space. The proof of this result uses analytic geometry in the s...
Cyclic groups of automorphisms of complex K3 surfaces
Cyclic groups automorphisms complex K3 surfaces
2012/2/29
We determine all possible orders of automorphisms of complex K3 surfaces. A positive integer N is the order of an automorphism of a complex K3 surface if and only if \phi(N) \leq 20 and N is not 60, w...