arXiv:1007.4644 Abstract | arXiv Analytics

arXiv:1007.4644 [math.AG]Abstract References Reviews Resources

Irreducibility of A-hypergeometric systems

Published 2010-07-27, updated 2010-09-01Version 2

We give an elementary proof of the Gel'fand-Kapranov-Zelevinsky theorem that non-resonant A-hypergeometric systems are irreducible. We also provide a proof of a converse statement In this second version we have removed the condition of saturatedness in Theorems 1.2 and 1.3. In Theorem 1.3 it is replaced by the condition of Cohen-Macaulayness of the toric ideal.

Categories: math.AG

Keywords: irreducibility, non-resonant a-hypergeometric systems, gelfand-kapranov-zelevinsky theorem, elementary proof, converse statement

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