-
1
-
-
84973999310
-
Hypergeometric functions and rings generated by monomials
-
[Ado94] . MR1262208 (96c:33020)
-
[Ado94] Alan Adolphson, Hypergeometric functions and rings generated by monomials, Duke Math. J. 73 (1994), no. 2, 269-290. MR1262208 (96c:33020)
-
(1994)
Duke Math. J.
, vol.73
, Issue.2
, pp. 269-290
-
-
Adolphson, A.1
-
2
-
-
26844523108
-
Higher solutions of hypergeometric systems and Dwork cohomology
-
[Ado99] . MR1705287 (2001b:14032)
-
[Ado99] _, Higher solutions of hypergeometric systems and Dwork cohomology, Rend. Sem. Mat. Univ. Padova 101 (1999), 179-190. MR1705287 (2001b:14032)
-
(1999)
Rend. Sem. Mat. Univ. Padova
, vol.101
, pp. 179-190
-
-
-
3
-
-
0003356411
-
Cohen-Macaulay rings
-
[BH93] , Cambridge University Press, Cambridge . MR1251956 (95h:13020)
-
[BH93] Winfried Bruns and Jürgen Herzog, Cohen-Macaulay rings, Cambridge Studies in Advanced Mathematics, vol. 39, Cambridge University Press, Cambridge, 1993. MR1251956 (95h:13020)
-
(1993)
Cambridge Studies in Advanced Mathematics
, vol.39
-
-
Bruns, W.1
Herzog, J.2
-
4
-
-
0003949332
-
-
[Bjö79] , North-Holland Mathematical Library, North-Holland Publishing Co., Amsterdam . MR0549189 (82g:32013)
-
[Bjö79] J.-E. Björk, Rings of differential operators, North-Holland Mathematical Library, vol. 21, North-Holland Publishing Co., Amsterdam, 1979. MR0549189 (82g:32013)
-
(1979)
Rings of Differential Operators
, vol.21
-
-
Björk, J.-E.1
-
5
-
-
0033566523
-
The a-hypergeometric system associated with a monomial curve
-
[CDD99] . MR1708034 (2001f:33018)
-
[CDD99] Eduardo Cattani, Carlos D'Andrea, and Alicia Dickenstein, The A-hypergeometric system associated with a monomial curve, Duke Math. J. 99 (1999), no. 2, 179-207. MR1708034 (2001f:33018)
-
(1999)
Duke Math. J.
, vol.99
, Issue.2
, pp. 179-207
-
-
Cattani, E.1
D'Andrea, C.2
Dickenstein, A.3
-
6
-
-
0010637639
-
Rational hypergeometric functions
-
[CDS01] . MR1850183 (2003f:33016)
-
[CDS01] Eduardo Cattani, Alicia Dickenstein, and Bernd Sturmfels, Rational hypergeometric functions, Compositio Math. 128 (2001), no. 2, 217-239. MR1850183 (2003f:33016)
-
(2001)
Compositio Math.
, vol.128
, Issue.2
, pp. 217-239
-
-
Cattani, E.1
Dickenstein, A.2
Sturmfels, B.3
-
7
-
-
0003301375
-
Mirror symmetry and algebraic geometry
-
[CK99] , Providence, RI . MR1677117 (2000d:14048)
-
[CK99] David Cox and Sheldon Katz, Mirror symmetry and algebraic geometry, Amer. Math. Soc., Providence, RI, 1999. MR1677117 (2000d:14048)
-
(1999)
Amer. Math. Soc.
-
-
Cox, D.1
Katz, S.2
-
8
-
-
0003243860
-
Commutative algebra, with a view toward algebraic geometry
-
[Eis95] , Springer-Verlag, New York . MR1322960 (97a:13001)
-
[Eis95] David Eisenbud, Commutative algebra, with a view toward algebraic geometry, Graduate Texts in Mathematics, vol. 150, Springer-Verlag, New York, 1995. MR1322960 (97a:13001)
-
(1995)
Graduate Texts in Mathematics
, vol.150
-
-
Eisenbud, D.1
-
9
-
-
0038717506
-
Holonomic systems of equations and series of hypergeometric type
-
[GGZ87] . MR0902936 (88j:58118)
-
[GGZ87] I. M. Gel'fand, M. I. Graev, arid A. V. Zelevinskiǐ, Holonomic systems of equations and series of hypergeometric type, Dokl. Akad. Nauk SSSR 295 (1987), no. 1, 14-19. MR0902936 (88j:58118)
-
(1987)
Dokl. Akad. Nauk SSSR
, vol.295
, Issue.1
, pp. 14-19
-
-
Gel'fand, I.M.1
Graev, M.I.2
Zelevinskiǐ, A.V.3
-
10
-
-
0038040995
-
Hypergeometric functions and toric varieties
-
[GKZ89] . Correction in ibid, 27 (1993), no. 4, 91. MR1011353 (90m:22025), MR1264328 (95a:22010)
-
[GKZ89] I. M. Gel'fand, A. V. Zelevinskiǐ, and M. M. Kapranov, Hypergeometric functions and toric varieties, Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, 12-26. Correction in ibid, 27 (1993), no. 4, 91. MR1011353 (90m:22025), MR1264328 (95a:22010)
-
(1989)
Funktsional. Anal. i Prilozhen.
, vol.23
, Issue.2
, pp. 12-26
-
-
Gel'fand, I.M.1
Zelevinskiǐ, A.V.2
Kapranov, M.M.3
-
11
-
-
0003322387
-
Algebraic geometry
-
[Har77] Springer-Verlag, New York . MR0463157 (57:3116)
-
[Har77] Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol. 52, Springer-Verlag, New York, 1977. MR0463157 (57:3116)
-
(1977)
Graduate Texts in Mathematics
, vol.52
-
-
Hartshorne, R.1
-
12
-
-
0042069245
-
-
[Hot98] . arXiv:math.RT/9805021
-
[Hot98] Ryoshi Hotta, Equivariant D-modules, 1998. arXiv:math.RT/9805021
-
(1998)
Equivariant D-modules
-
-
Hotta, R.1
-
13
-
-
0035194344
-
Rank jumps in codimension 2 A-hypergeometric systems
-
[Mat01] , Effective methods in rings of differential operators. MR1866707 (2003f:33017)
-
[Mat01] Laura Felicia Matusevich, Rank jumps in codimension 2 A-hypergeometric systems, J. Symbolic Comput. 32 (2001), no. 6, 619-641, Effective methods in rings of differential operators. MR1866707 (2003f:33017)
-
(2001)
J. Symbolic Comput.
, vol.32
, Issue.6
, pp. 619-641
-
-
Matusevich, L.F.1
-
14
-
-
0037653507
-
Exceptional parameters for generic A-hypergeometric systems
-
[Mat03] . MR 1967406 (2004b:16039)
-
[Mat03] _, Exceptional parameters for generic A-hypergeometric systems, Int. Math. Res. Not. (2003), no. 22, 1225-1248. MR 1967406 (2004b:16039)
-
(2003)
Int. Math. Res. Not.
, Issue.22
, pp. 1225-1248
-
-
-
15
-
-
26844541481
-
Combinatorics of rank jumps in simplicial hypergeometric systems
-
[MM05] , to appear . arXiv:math.AC/0402071
-
[MM05] Laura Felicia Matusevich and Ezra Miller, Combinatorics of rank jumps in simplicial hypergeometric systems, Proc. Amer. Math. Soc., to appear, 2005. arXiv:math.AC/0402071
-
(2005)
Proc. Amer. Math. Soc.
-
-
Matusevich, L.F.1
Miller, E.2
-
17
-
-
0009924670
-
Graded Greenlees-May duality and the Čech hull
-
[Mil02] , Local cohomology and its applications (Guanajuato, 1999), Dekker, New York . MR1888202 (2004b:13019)
-
[Mil02] Ezra Miller, Graded Greenlees-May duality and the Čech hull, Local cohomology and its applications (Guanajuato, 1999), Lecture Notes in Pure and Appl. Math., vol. 226, Dekker, New York, 2002, pp. 233-253. MR1888202 (2004b:13019)
-
(2002)
Lecture Notes in Pure and Appl. Math.
, vol.226
, pp. 233-253
-
-
Miller, E.1
-
18
-
-
13444275619
-
Combinatorial commutative algebra
-
[MS04] , Springer-Verlag, New York . MR2110098
-
[MS04] Ezra Miller and Bernd Sturmfels, Combinatorial commutative algebra, Graduate Texts in Mathematics Vol. 227, Springer-Verlag, New York, 2004. MR2110098
-
(2004)
Graduate Texts in Mathematics
, vol.227
-
-
Miller, E.1
Sturmfels, B.2
-
19
-
-
0011549025
-
Isomorphism classes of A-hypergeometric systems
-
[Sai01] . MR1858340 (2003f:33019)
-
[Sai01] Mutsumi Saito, Isomorphism classes of A-hypergeometric systems, Compositio Math. 128 (2001), no. 3, 323-338. MR1858340 (2003f:33019)
-
(2001)
Compositio Math.
, vol.128
, Issue.3
, pp. 323-338
-
-
Saito, M.1
-
20
-
-
0036811386
-
Logarithm-free A-hypergeometric series
-
[Sai02] . MR1932325 (2004f:16041)
-
[Sai02] Mutsumi Saito, Logarithm-free A-hypergeometric series, Duke Math. J. 115 (2002), no. 1, 53-73. MR1932325 (2004f:16041)
-
(2002)
Duke Math. J.
, vol.115
, Issue.1
, pp. 53-73
-
-
Saito, M.1
-
21
-
-
0003206184
-
Gröbner deformations of hypergeometric differential equations
-
[SST00] , Springer-Verlag, Berlin . MR1734566 (2001i:13036)
-
[SST00] Mutsumi Saito, Bernd Sturmfels, and Nobuki Takayama, Gröbner deformations of hypergeometric differential equations, Algorithms and Computation in Mathematics, vol. 6, Springer-Verlag, Berlin, 2000. MR1734566 (2001i:13036)
-
(2000)
Algorithms and Computation in Mathematics
, vol.6
-
-
Saito, M.1
Sturmfels, B.2
Takayama, N.3
-
22
-
-
0000602712
-
Gröbner bases and hypergeometric functions
-
[ST98] , Gröbner bases and applications (Linz, 1998), Cambridge Univ. Press, Cambridge . MR1708882 (2001c:33026)
-
[ST98] Bernd Sturmfels and Nobuki Takayama, Gröbner bases and hypergeometric functions, Gröbner bases and applications (Linz, 1998), London Math. Soc. Lecture Note Ser., vol. 251, Cambridge Univ. Press, Cambridge, 1998, pp. 246-258. MR1708882 (2001c:33026)
-
(1998)
London Math. Soc. Lecture Note Ser.
, vol.251
, pp. 246-258
-
-
Sturmfels, B.1
Takayama, N.2
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