nLab
shtuka

Contents

Contents

Idea

In arithmetic geometry over a finite field a shtuka on an arithmetic scheme is essentially an equivariant algebraic vector bundle on the product of the scheme with a given arithmetic curve, where equivariance is with respect to the action of the Frobenius endomorphism (e.g. Scholze-Weinstein, def. 1).

(Shtuka is a Russian word colloquially meaning “thing”.)

References

Reviews of the basic definition include

Definition 1 in

More conceptual discussion, in the context of the function field analogy, is in

Last revised on May 23, 2019 at 08:17:25. See the history of this page for a list of all contributions to it.