Algebraic construction of the Stokes sheaf for irregular linear q-difference equations

Details Algebraic construction of the Stokes sheaf for irregular linear q-difference equations Algebraic construction of the Stokes sheaf for irregular linear q-difference equations

2004-09-21

arxiv.org/abs/math/0409393v1

Mathematics

Quantum Algebra

Scientific paper

The local analytic classification of irregular linear q-difference equations has recently been obtained by J.-P. Ramis, J. Sauloy and C. Zhang. Their description involves a q-analog of the Stokes sheaf and theorems of Malgrange-Sibuya type and is based on a discrete summation process due to C. Zhang. We show here another road to some of these results by algebraic means and we describe the q-Gevrey devissage of the q-Stokes sheaf by holomorphic vector bundles over an elliptic curve.

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