Equations aux q-differences et fibres vectoriels holomorphes sur la courbe elliptique C^*/q^Z

TL;DR

This paper explores applications of vector bundles to q-difference equations on elliptic curves, extending Weil's correspondence to provide new insights and tools in the study of these equations.

Contribution

It introduces novel applications of vector bundles to q-difference equations on elliptic curves, building upon Weil's correspondence.

Findings

New connections between vector bundles and q-difference equations.

Extensions of Weil's correspondence to elliptic curves.

Potential applications in solving q-difference equations.

Abstract

Nous presentons diverses applications des fibres vectoriels aux equations aux q-differences, dans la lignee de la correspondance de Weil. (We present some applications of vector bundles to $q$-difference equtions, in continuation of Weil's correspondance.)