Logarithm-free A-hypergeometric series
Mutsumi Saito
Source: Duke Math. J.
Volume 115, Number 1
(2002), 53-73.
Abstract
We give a dimension formula for the space of logarithm-free
series solutions to an A-hypergeometric (or a
Gel’fand-Kapranov-Zelevinskiĭ (GKZ)
hypergeometric) system. In the case where the convex hull
spanned by A is a simplex, we give a rank formula for
the system, characterize the exceptional set, and prove the
equivalence of the Cohen-Macaulayness of the toric variety
defined by A with the emptiness of the exceptional
set. Furthermore, we classify A-hypergeometric systems
as analytic $\mathscr{D}$-modules.
Primary Subjects: 16S32
Secondary Subjects: 13N10, 14M25, 33C70
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1085598118
Digital Object Identifier: doi:10.1215/S0012-7094-02-11512-9
Mathematical Reviews number (MathSciNet):
MR1932325
Zentralblatt MATH identifier:
1031.33011
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