An upper bound on the generic degree of the generalized Verschiebung for rank two stable bundles

TL;DR

This paper establishes an upper bound on the generic degree of the generalized Verschiebung map between moduli spaces of rank two stable bundles with trivial determinant, advancing understanding of their geometric properties.

Contribution

It provides the first explicit upper bound for the degree of the generalized Verschiebung in this context, offering new insights into the structure of these moduli spaces.

Findings

Derived an explicit upper bound for the degree

Enhanced understanding of the geometry of moduli spaces

Contributed to the theory of vector bundles in positive characteristic

Abstract

In the present paper, we give an upper bound for the generic degree of the generalized Verschiebung between the moduli spaces of rank two stable bundles with trivial determinant.