Logarithm-free A-hypergeometric series
Saito, Mutsumi
Duke Math. J., Tome 115 (2002) no. 1, p. 53-73 / Harvested from Project Euclid
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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.
Publié le : 2002-10-01
Classification:  16S32,  13N10,  14M25,  33C70 
@article{1085598118,
     author = {Saito, Mutsumi},
     title = {Logarithm-free A-hypergeometric series},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 53-73},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1085598118}
}

Saito, Mutsumi. Logarithm-free A-hypergeometric series. Duke Math. J., Tome 115 (2002) no. 1, pp.  53-73. http://gdmltest.u-ga.fr/item/1085598118/