We remark that Tate’s algorithm to determine the minimal model of an elliptic curve can be stated in a way that characterises Kodaira types from the minimum of . As an application, we deduce the behaviour of Kodaira types in tame extensions of local fields.
We prove the recursive integral formula of class one -Whittaker functions on SL conjectured and verified in case of by Stade.
Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .