Hypergeometric functions and rings generated by monomials
Alan Adolphson
Source: Duke Math. J. Volume 73, Number 2
(1994), 269-290.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288812
Mathematical Reviews number (MathSciNet): MR1262208
Zentralblatt MATH identifier: 0804.33013
Digital Object Identifier: doi:10.1215/S0012-7094-94-07313-4
References
[1] A. Adolphson and S. Sperber, Exponential sums and Newton polyhedra: cohomology and estimates, Ann. of Math. (2) 130 (1989), no. 2, 367–406.
Mathematical Reviews (MathSciNet): MR91e:11094
Zentralblatt MATH: 0723.14017
Digital Object Identifier: doi:10.2307/1971424
JSTOR: links.jstor.org
[2] J.-E. Björk, Rings of Differential Operators, North-Holland Math. Library, vol. 21, North-Holland, Amsterdam, 1979.
Mathematical Reviews (MathSciNet): MR82g:32013
Zentralblatt MATH: 0499.13009
[3] B. Dwork, On the zeta function of a hypersurface, II, Ann. of Math. (2) 80 (1964), 227–299.
Mathematical Reviews (MathSciNet): MR32:5654
Zentralblatt MATH: 0173.48601
Digital Object Identifier: doi:10.2307/1970392
JSTOR: links.jstor.org
[4] B. Dwork, Generalized Hypergeometric Functions, Oxford Mathematical Monographs, Clarendon, New York, 1990.
Mathematical Reviews (MathSciNet): MR92h:14006
Zentralblatt MATH: 0747.33001
[5] B. Dwork and F. Loeser, Hypergeometric series, Japan. J. Math. (N.S.) 19 (1993), no. 1, 81–129.
Mathematical Reviews (MathSciNet): MR95f:33013
Zentralblatt MATH: 0796.12005
[6] I. M. Gelfand, A. V. Zelevinskii, and M. M. Kapranov, Hypergeometric functions and toral manifolds, Functional Anal. Appl. 23 (1989), 94–106, English translation.
Zentralblatt MATH: 0721.33006
Mathematical Reviews (MathSciNet): MR1011353
[7] I. M. Gelfand, M. M. Kapranov, and A. V. Zelevinsky, Generalized Euler integrals and $A$-hypergeometric functions, Adv. Math. 84 (1990), no. 2, 255–271.
Mathematical Reviews (MathSciNet): MR92e:33015
Zentralblatt MATH: 0741.33011
Digital Object Identifier: doi:10.1016/0001-8708(90)90048-R
[8] M. Hochster and J. A. Eagon, Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci, Amer. J. Math. 93 (1971), 1020–1058.
Mathematical Reviews (MathSciNet): MR46:1787
Zentralblatt MATH: 0244.13012
Digital Object Identifier: doi:10.2307/2373744
JSTOR: links.jstor.org
[9] M. Hochster, Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. (2) 96 (1972), 318–337.
Mathematical Reviews (MathSciNet): MR46:3511
Zentralblatt MATH: 0237.14019
Digital Object Identifier: doi:10.2307/1970791
JSTOR: links.jstor.org
[10] M. Hochster, 22 May 1992, Personal communication.
[11] A. G. Kouchnirenko, Polyèdres de Newton et nombres de Milnor, Invent. Math. 32 (1976), no. 1, 1–31.
Mathematical Reviews (MathSciNet): MR54:7454
Zentralblatt MATH: 0328.32007
Digital Object Identifier: doi:10.1007/BF01389769
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