Hasse–Schmidt modules versus integrable connections

We prove that, in characteristic 0, any Hasse–Schmidt module structure can be recovered from its underlying integrable connection, and consequently Hasse–Schmidt modules and modules endowed with an integrable connection coincide.

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Bibliographic Details
Published in:	Revista matemática complutense Vol. 34; no. 1; pp. 75 - 98
Main Author:	Narváez Macarro, Luis
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 2021 Springer Nature B.V
Subjects:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Modules Topology 13N10 HS-structure Hasse–Schmidt derivation Substitution map Integrable connection 14F10 Differential operator 13N15 Integrable derivation
Online Access:	Get full text
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Description
Summary:	We prove that, in characteristic 0, any Hasse–Schmidt module structure can be recovered from its underlying integrable connection, and consequently Hasse–Schmidt modules and modules endowed with an integrable connection coincide.
ISSN:	1139-1138 1988-2807
DOI:	10.1007/s13163-019-00340-z