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Automorphisms of Products of Drinfeld Half Planes
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classification
math.NTmath.AG
keywords
drinfeldproductsspacesadicanalyticautomorphismautomorphismsdeduce
abstract
The Drinfeld upper half-planes play the role of symmetric spaces in the $p$-adic analytic world. We find the automorphism group of a product of such spaces, where each may be defined over a different field. We deduce a rigidity theorem for quotients of such products by discrete and torsion free groups.
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