A p-adic local monodromy theorem
نویسنده
چکیده
We prove a local monodromy theorem for p-adic differential equations on an annulus, answering a question of R. Crew. Specifically, suppose given a finite free module over the Robba ring (the ring of germs of functions analytic on some open p-adic annulus with outer radius 1) with a connection and a compatible Frobenius structure. We prove that the module admits a basis over a finite extension of the Robba ring (induced by a finite cover of the open p-adic unit disc) on which the connection acts via a nilpotent matrix.
منابع مشابه
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