Generalized basic hypergeometric equations

• 成果类型: Article
• 署名作者: Roques, Julien
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0294-3
• 发表日期: 2011
• 页码: 499-528
• 关键词: q-difference equations; Q-ANALOG; galois theory; monodromy

摘要

This paper deals with regular singular generalized q-hypergeometric equations with either large or small Galois groups. In particular, we consider the fundamental problem of finding appropriate Galoisian substitutes for the usual notion of local monodromy.