Université de Versailles-St Quentin, Laboratoire de Mathématiques, 45 avenue des États-Unis 78035 Versailles cedex, France
e-mail: lucia.di.vizio[at]math.cnrs.fr          
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On the arithmetic theory of q-difference equations. The q-analogue of the Grothendieck-Katz's conjecture on p-curvatures

Inventiones Mathematicae 150 (2002) 3, 517--578. 

Abstract: 

We prove an anlogue of the Grothendieck-Katz conjecture on the p-curvatures for q-difference equations, under the assumption that q is an algebraic number. 

DOI: doi:10.1007/s00222-002-0241-z.

ArXiv: math.NT/0104178.

List of misprints and errata (pdf file), Another proof of Theorem 6.2.2 (pdf file).