Endomorphisms of exceptional $D$-elliptic sheaves

TL;DR

This paper explores the relationship between endomorphism rings of specific $D$-elliptic sheaves in finite characteristic and hereditary orders in central division algebras over function fields.

Contribution

It establishes a connection between endomorphism rings of $D$-elliptic sheaves and hereditary orders in division algebras, providing new insights into their structure.

Findings

Endomorphism rings correspond to hereditary orders.

Identification of algebraic structures associated with $D$-elliptic sheaves.

Enhanced understanding of the algebraic properties of $D$-elliptic sheaves.

Abstract

We relate the endomorphism rings of certain $D$-elliptic sheaves of finite characteristic to hereditary orders in central division algebras over function fields.