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Automorphisms of Drinfeld half-spaces over a finite field
Part of
- Arithmetic problems. Diophantine geometry
- Birational geometry
Bertrand Rémy, Amaury Thuillier, Annette Werner
Journal:

Compositio Mathematica / Volume 149 / Issue 7 / July 2013

Published online by Cambridge University Press:

26 April 2013, pp. 1211-1224

Print publication:

July 2013
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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 sense of Berkovich over the finite field equipped with the trivial valuation. We also take into account extensions of the base field.

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Automorphisms of Drinfeld half-spaces over a finite field