-
1
-
-
84973999310
-
Hypergeometric functions and rings generated by monomials
-
MR 1262208
-
A. ADOLPHSON, Hypergeometric functions and rings generated by monomials, Duke Math. J. 73 (1994), 269-290. MR 1262208
-
(1994)
Duke Math. J
, vol.73
, pp. 269-290
-
-
ADOLPHSON, A.1
-
2
-
-
0000302672
-
How to calculate the slopes of a D-module
-
MR 1421395
-
A. ASSI, F. J. CASTRO-JIMÉNEZ, and J. M. GRANGER, How to calculate the slopes of a D-module, Compositio Math. 104 (1996), 107-123. MR 1421395
-
(1996)
Compositio Math
, vol.104
, pp. 107-123
-
-
ASSI, A.1
CASTRO-JIMÉNEZ, F.J.2
GRANGER, J.M.3
-
4
-
-
43949137516
-
-
M. P. BRODMANN and R. Y. SHARP, Local Cohomology: An Algebraic Introduction with Geometric Applications, Cambridge Stud. Adv. Math. 60, Cambridge Univ. Press, Cambridge, 1998. MR 1613627
-
M. P. BRODMANN and R. Y. SHARP, Local Cohomology: An Algebraic Introduction with Geometric Applications, Cambridge Stud. Adv. Math. 60, Cambridge Univ. Press, Cambridge, 1998. MR 1613627
-
-
-
-
5
-
-
43949126987
-
-
W. BRUNS and J. HERZOG, Cohen-Macaulay Rings, Cambridge Stud. Adv. Math. 39, Cambridge Univ. Press, Cambridge, 1993. MR 1251956
-
W. BRUNS and J. HERZOG, Cohen-Macaulay Rings, Cambridge Stud. Adv. Math. 39, Cambridge Univ. Press, Cambridge, 1993. MR 1251956
-
-
-
-
6
-
-
0041862808
-
Singularities of the hypergeometric system associated with a monomial curve
-
MR 1990172
-
F. J. CASTRO-JIMÉNEZ and N. TAKAYAMA, Singularities of the hypergeometric system associated with a monomial curve. Trans. Amer. Math. Soc. 355, no. 9 (2003), 3761-3775. MR 1990172
-
(2003)
Trans. Amer. Math. Soc
, vol.355
, Issue.9
, pp. 3761-3775
-
-
CASTRO-JIMÉNEZ, F.J.1
TAKAYAMA, N.2
-
7
-
-
0010637639
-
Rational hypergeometric functions
-
MR 1850183
-
E. CATTANI, A. DICKENSTEIN, and B. STURMFELS, Rational hypergeometric functions, Compositio Math. 128 (2001), 217-239. MR 1850183
-
(2001)
Compositio Math
, vol.128
, pp. 217-239
-
-
CATTANI, E.1
DICKENSTEIN, A.2
STURMFELS, B.3
-
8
-
-
43949147151
-
-
D. A. COX and S. KATZ, Mirror Symmetry and Algebraic Geometry, Math. Surveys Monogr. 68, Amer. Math. Soc., Providence, 1999. MR 1677117
-
D. A. COX and S. KATZ, Mirror Symmetry and Algebraic Geometry, Math. Surveys Monogr. 68, Amer. Math. Soc., Providence, 1999. MR 1677117
-
-
-
-
9
-
-
43949146197
-
-
W. FULTON, Intersection Theory, 2nd ed., Ergeb. Math. Grenzgeb. (3) 2, Springer, Berlin, 1998. MR 1644323
-
W. FULTON, Intersection Theory, 2nd ed., Ergeb. Math. Grenzgeb. (3) 2, Springer, Berlin, 1998. MR 1644323
-
-
-
-
10
-
-
0038717506
-
Holonomic systems of equations and series of hypergeometric type
-
in Russian
-
I. M. GEL'FAND, M. I. GRAEV, and A. V. ZELEVINSKIǏ, Holonomic systems of equations and series of hypergeometric type (in Russian), Dokl. Akad. Nauk SSSR 295, no. 1 (1987), 14-19;
-
(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
-
11
-
-
0038717512
-
-
MR 0902936 English translation in
-
English translation in Soviet Math. Dokl. 36 (1988), 5-10. MR 0902936
-
(1988)
Soviet Math. Dokl
, vol.36
, pp. 5-10
-
-
-
12
-
-
0038040995
-
Hypergeometric functions and toric varieties
-
in Russian
-
I. M. GEL'FAND, A. V. ZELEVINSKIǏ, and M. M. KAPRANOV, Hypergeometric functions and toric varieties (in Russian), Funktsional. Anal, i Prilozhen. 23, no. 2 (1989), 12-26;
-
(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
-
13
-
-
41649083903
-
-
MR 1011353 English translation in
-
English translation in Funct, Anal. Appl. 23 (1989), 94-106. MR 1011353
-
(1989)
Funct, Anal. Appl
, vol.23
, pp. 94-106
-
-
-
14
-
-
43949105433
-
-
R. GODEMENT, Topologie algébrique et théorie des faisceaux, Actualités Sci. Indust. 1252, Publ. Math. Univ. Strasbourg 13, Hermann, Paris, 1958. MR 0102797
-
R. GODEMENT, Topologie algébrique et théorie des faisceaux, Actualités Sci. Indust. 1252, Publ. Math. Univ. Strasbourg 13, Hermann, Paris, 1958. MR 0102797
-
-
-
-
15
-
-
43949122136
-
-
M. I. HARTILLO HERMOSO, Slopes of hypergeometric systems of codimension one in Proceedings of the International Conference on Algebraic Geometry and Singularities (Sevilla, 2001), Rev. Mat. Iberoamericana 19, Dep. Mat. Univ. Autónoma Madrid, Madrid, 2003, 455-466. MR 2023195
-
M. I. HARTILLO HERMOSO, "Slopes of hypergeometric systems of codimension one" in Proceedings of the International Conference on Algebraic Geometry and Singularities (Sevilla, 2001), Rev. Mat. Iberoamericana 19, Dep. Mat. Univ. Autónoma Madrid, Madrid, 2003, 455-466. MR 2023195
-
-
-
-
16
-
-
27844520784
-
Irregular hypergeometric systems associated with a singular monomial curve
-
MR 2156724
-
_, Irregular hypergeometric systems associated with a singular monomial curve, Trans. Amer. Math. Soc. 357, no. 11 (2005), 4633-4646. MR 2156724
-
(2005)
Trans. Amer. Math. Soc
, vol.357
, Issue.11
, pp. 4633-4646
-
-
-
17
-
-
0042069245
-
-
preprint, arXiv:math/9805021v1 [math.RT
-
R. HOTTA, Equivariant d-modules, preprint, arXiv:math/9805021v1 [math.RT]
-
Equivariant d-modules
-
-
HOTTA, R.1
-
18
-
-
0001176482
-
The invariant holonomic system on a semisimple Lie algebra
-
MR 0732550
-
R. HOTTA and M. KASHIWARA, The invariant holonomic system on a semisimple Lie algebra, Invent. Math. 75 (1984), 327-358. MR 0732550
-
(1984)
Invent. Math
, vol.75
, pp. 327-358
-
-
HOTTA, R.1
KASHIWARA, M.2
-
19
-
-
43949125454
-
-
E. L. INCE, Ordinary Differential Equations, Dover, New York, 1944. MR 0010757
-
E. L. INCE, Ordinary Differential Equations, Dover, New York, 1944. MR 0010757
-
-
-
-
20
-
-
14244256152
-
Polyèdres de Newton et nombres de Milnor
-
MR 0419433
-
A. G. KOUCHNIRENKO, Polyèdres de Newton et nombres de Milnor, Invent. Math. 32(1976), 1-31, MR 0419433
-
(1976)
Invent. Math
, vol.32
, pp. 1-31
-
-
KOUCHNIRENKO, A.G.1
-
21
-
-
43949109524
-
-
Y. LAURENT, Théorie de la deuxième microlocalisation dans le domaine complexe, Progr. Math. 53, Birkhäuser, Boston, 1985. MR 0776973
-
Y. LAURENT, Théorie de la deuxième microlocalisation dans le domaine complexe, Progr. Math. 53, Birkhäuser, Boston, 1985. MR 0776973
-
-
-
-
22
-
-
0000383010
-
Polyĝne de Newton et b-fonctions pour les modules microdifférentiels
-
MR 0925721
-
_, Polyĝne de Newton et b-fonctions pour les modules microdifférentiels, Ann. Sci. École Norm. Sup. (4) 20 (1987), 391 -441. MR 0925721
-
(1987)
Ann. Sci. École Norm. Sup. (4)
, vol.20
, pp. 391-441
-
-
KOUCHNIRENKO, A.G.1
-
23
-
-
0032622818
-
Pentes algébriques et pentes analytiques d'un 2-module
-
MR 1670595
-
Y. LAURENT and Z. MEBKHOUT, Pentes algébriques et pentes analytiques d'un 2-module, Ann. Sci. École Norm. Sup. (4) 32 (1999), 39-69. MR 1670595
-
(1999)
Ann. Sci. École Norm. Sup. (4)
, vol.32
, pp. 39-69
-
-
LAURENT, Y.1
MEBKHOUT, Z.2
-
24
-
-
0001745264
-
Sur les points singuliers des équations différentielles
-
MR 0368074
-
B. MALGRANGE, Sur les points singuliers des équations différentielles, Enseign. Math. (2) 20 (1974), 147-176. MR 0368074
-
(1974)
Enseign. Math. (2)
, vol.20
, pp. 147-176
-
-
MALGRANGE, B.1
-
25
-
-
26844490609
-
Homological methods for hypergeometric families
-
MR 2163866
-
L. F. MATUSEVICH, E. MILLER, and U. WALTHER, Homological methods for hypergeometric families, J. Amer. Math. Soc. 18 (2005), 919-941. MR 2163866
-
(2005)
J. Amer. Math. Soc
, vol.18
, pp. 919-941
-
-
MATUSEVICH, L.F.1
MILLER, E.2
WALTHER, U.3
-
26
-
-
51249173488
-
Le théorème de comparaison entre cohomologies de de Rham d'une variété algébrique complexe et le théorème d'existence de Riemann
-
MR 1019961
-
Z. MEBKHOUT, Le théorème de comparaison entre cohomologies de de Rham d'une variété algébrique complexe et le théorème d'existence de Riemann, Inst. Hautes Études Sci. Publ. Math. 69 (1989), 47-89. MR 1019961
-
(1989)
Inst. Hautes Études Sci. Publ. Math
, vol.69
, pp. 47-89
-
-
MEBKHOUT, Z.1
-
27
-
-
1242325432
-
Combinatorial Commutative Algebra, Grad
-
Springer, New York, MR 2110098
-
E. MILLER and B. STURMFELS, Combinatorial Commutative Algebra, Grad. Texts in Math. 227, Springer, New York, 2005. MR 2110098
-
(2005)
Texts in Math
, vol.227
-
-
MILLER, E.1
STURMFELS, B.2
-
28
-
-
0008807865
-
-
Math. Soc. Japan, Tokyo, MR 1814008
-
P. ORLIK and H. TERAO, Arrangements and Hypergeometric Integrals, MSJ Mem. 9, Math. Soc. Japan, Tokyo, 2001. MR 1814008
-
(2001)
Arrangements and Hypergeometric Integrals, MSJ Mem
, vol.9
-
-
ORLIK, P.1
TERAO, H.2
-
29
-
-
43949101621
-
-
M. SAITO, B. STURMFELS, and N. TAKAYAMA, Gröbner Deformations of Hypergeometric Differential Equations, Algorithms Comput. Math. 6, Springer, Berlin, 2000. MR 1734566
-
M. SAITO, B. STURMFELS, and N. TAKAYAMA, Gröbner Deformations of Hypergeometric Differential Equations, Algorithms Comput. Math. 6, Springer, Berlin, 2000. MR 1734566
-
-
-
-
30
-
-
3242716533
-
Finite generation of rings of differential operators of semigroup algebras
-
MR 2068067
-
M. SAITO and W. N. TRAVES, Finite generation of rings of differential operators of semigroup algebras, J. Algebra 278 (2004), 76-103. MR 2068067
-
(2004)
J. Algebra
, vol.278
, pp. 76-103
-
-
SAITO, M.1
TRAVES, W.N.2
-
31
-
-
43949100582
-
-
P. SCHAPIRA, Microdifferential Systems in the Complex Domain, Grundlehren Math. Wiss. 269, Springer, Berlin, 1985. MR 774228
-
P. SCHAPIRA, Microdifferential Systems in the Complex Domain, Grundlehren Math. Wiss. 269, Springer, Berlin, 1985. MR 774228
-
-
-
-
33
-
-
0040740927
-
Algèbre locale: Multiplicités
-
2nd ed, Springer, Berlin, MR 0201468
-
J.-P. SERRE, Algèbre locale: Multiplicités, 2nd ed., Lecture Notes in Math. 11, Springer, Berlin, 1965. MR 0201468
-
(1965)
Lecture Notes in Math
, vol.11
-
-
SERRE, J.-P.1
-
34
-
-
0041366833
-
Irreducible components of characteristic varieties
-
MR 1864474
-
G. G. SMITH, Irreducible components of characteristic varieties, J. Pure Appl. Algebra 165 (2001), 291-306. MR 1864474
-
(2001)
J. Pure Appl. Algebra
, vol.165
, pp. 291-306
-
-
SMITH, G.G.1
-
35
-
-
43949095411
-
-
B. STURMFELS, Gröbner Bases and Convex Polytopes, Univ. Lecture Ser. 8, Amer. Math. Soc., Providence, 1996. MR 1363949
-
B. STURMFELS, Gröbner Bases and Convex Polytopes, Univ. Lecture Ser. 8, Amer. Math. Soc., Providence, 1996. MR 1363949
-
-
-
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