DOCUMENTA MATHEMATICA, Vol. 22 (2017), 287-296

Richard Crew

Rigidity and Frobenius Structure

We show that an irreducible ordinary differential equation on the projective line has a Frobenius structure for a power of some prime p if it is rigid in the sense of Katz and satisfies some other reasonable (and necessary) conditions relative to the prime p.

2010 Mathematics Subject Classification: 14F30

Keywords and Phrases: p-adic differential equations, rigidity

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