Abstract
In this paper we consider linear differential equations with a recursion consisting of two terms. We consider these equations in positive characteristics and in characteristic zero. We will find a new proof for the Grothendieck conjecture for these equations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
F. Baldassarri and B. Dwork: On second order linear differential equations with algebraic solutions, Amer. J. Math.101, (1979), 42–76
F. Beukers and G. Heckman: Monodromy for the hypergeometric functionF n,n +1, Invent. math95, 325–354 (1989)
N.M. Katz: Rigid local systems, Princeton University Press, 1996
H.A. Schwarz: Über diejenigen Fälle, in welchen die Gaussische hypergeometrische Reihe einer algebraischen Funktion ihres vierten Elementes darstellt. Crelle J.75, 292–335 (1873)
Author information
Authors and Affiliations
Additional information
Supported by a grant from the DFG.
Rights and permissions
About this article
Cite this article
Hoeppner, S. Differential equations with 2-term recursion. Manuscripta Math 95, 349–362 (1998). https://doi.org/10.1007/BF02678036
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02678036