English

Rigidity and Frobenius Structure

Algebraic Geometry 2016-12-15 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1606.02246,
  title  = {Rigidity and Frobenius Structure},
  author = {Richard M. Crew},
  journal= {arXiv preprint arXiv:1606.02246},
  year   = {2016}
}

Comments

10 pages. The proofs of proposition 1, theorem 3 and some other brief passages have been rewritten for clarity. A few misprints were corrected

R2 v1 2026-06-22T14:19:47.613Z