We describe the parametric behavior of the series solutions of an A-hypergeometric system. More precisely, we construct explicit stratifications of the parameter space such that, on each stratum, the series solutions of the system are holomorphic.
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Received by the editors May 20, 2016, and, in revised form, September 13, 2016 and September 15, 2016. 2010 Mathematics Subject Classification. Primary 33C70; Secondary 14M25, 32A10, 52B20. The first author was partially supported by NSF Grant DMS 1440537. The second author was partially supported by the G. S. Magnusson Fund of the Royal Swedish Academy of Sciences. The third author was partially supported by NSF grants DMS 1001763 and DMS 1500832.
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