nLab
Gauss-Manin connection

Contents

Contents

Definition

Under the identification of local systems – in the sense of locally constant and locally free abelian sheaves – with flat vector bundles, the flat connection induced on these vector bundles is called the Gauss-Manin connection (e.g. Voisin 2002, Def. 9.13).

An important application is to Picard-Fuchs theory.

Relatec concepts

References

Original articles:

  • Yuri Manin, Algebraic curves over fields with differentiation, Izv. Akad. Nauk SSSR Ser. Mat., 22:6 (1958), 737–756, pdf(in Russian)

Textbook account:

See also:

In noncommutative geometry:

Last revised on July 25, 2021 at 07:59:27. See the history of this page for a list of all contributions to it.