RESONANCE EQUALS REDUCIBILITY FOR A-HYPERGEOMETRIC SYSTEMS
RESONANCE EQUALS REDUCIBILITY FOR A-HYPERGEOMETRIC SYSTEMS
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DOI：
10.2140/ant.2012.6.527
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发表时间：
2010-09
影响因子：
1.3
通讯作者：
M. Schulze;U. Walther
中科院分区：
文献类型：
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作者：
M. Schulze;U. Walther
Gel'fand等的经典定理和Beukers的最新结果表明，非连续Cohen{Macaulay} A-超几何系统具有可约单值表示当且仅当连续参数是A-共振的.我们删除了Conuence和Cohen{Macaulayness条件，同时简化了证明。
Classical theorems of Gel'fand et al. and recent results of Beuk- ers show that nonconuent Cohen{Macaulay A-hypergeometric systems have reducible monodromy representation if and only if the continuous parameter is A-resonant. We remove both the conuence and Cohen{Macaulayness conditions while simplifying the proof.