On microlocal -function
Bulletin de la Société Mathématique de France (1994)
- Volume: 122, Issue: 2, page 163-184
- ISSN: 0037-9484
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topSaito, Morihiko. "On microlocal $b$-function." Bulletin de la Société Mathématique de France 122.2 (1994): 163-184. <http://eudml.org/doc/87685>.
@article{Saito1994,
author = {Saito, Morihiko},
journal = {Bulletin de la Société Mathématique de France},
keywords = {-module; -function},
language = {eng},
number = {2},
pages = {163-184},
publisher = {Société mathématique de France},
title = {On microlocal $b$-function},
url = {http://eudml.org/doc/87685},
volume = {122},
year = {1994},
}
TY - JOUR
AU - Saito, Morihiko
TI - On microlocal $b$-function
JO - Bulletin de la Société Mathématique de France
PY - 1994
PB - Société mathématique de France
VL - 122
IS - 2
SP - 163
EP - 184
LA - eng
KW - -module; -function
UR - http://eudml.org/doc/87685
ER -
References
top- [1] BRIESKORN (E.). — Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math., t. 2, 1970, p. 103-161. Zbl0186.26101MR42 #2509
- [2] DELIGNE (P.). — Le formalisme des cycles évanescents, in SGA7 XIII and XIV, Lect. Notes in Math., vol. 340, Springer, Berlin, 1973, p. 82-115 and 116-164. Zbl0266.14008MR50 #7135
- [3] EHLERS (F.) and LO (K.-C.). — Minimal characteristic exponent of the Gauss-Manin connection of isolated singular point and Newton polyhedron, Math. Ann., t. 259, 1982, p. 431-441. Zbl0469.32004MR83j:32009
- [4] KASHIWARA (M.). — B-function and holonomic systems, Inv. Math., t. 38, 1976, p. 33-53. Zbl0354.35082MR55 #3309
- [5] KASHIWARA (M.). — Vanishing cycle sheaves and holonomic systems of differential equations, Lecture Notes in Math., t. 1016, 1983, p. 136-142. Zbl0566.32022MR85e:58137
- [6] KASHIWARA (M.) and KAWAI (T.). — Second microlocalization and asymptotic expansions, Lecture Notes in Phys., t. 126, 1980, p. 21-76. Zbl0458.46027MR81i:58038
- [7] KOUCHINIRENKO (A.). — Polyèdres de Newton et nombres de Milnor, Invent. Math., t. 32, 1976, p. 1-31. Zbl0328.32007MR54 #7454
- [8] MALGRANGE (B.). — Le polynôme de Bernstein d'une singularité isolée, Lecture Notes in Math., t. 459, 1975, p. 98-119. Zbl0308.32007MR54 #7845
- [9] MALGRANGE (B.). — Polynôme de Bernstein-Sato et cohomologie évanescente, Astérisque, t. 101-102, 1983, p. 243-267. Zbl0528.32007MR86f:58148
- [10] MALGRANGE (B.). — Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup. Paris (4), t. 7, 1974, p. 405-430. Zbl0305.32008MR51 #8459
- [11] PHAM (F.). — Singularités des systèmes différentiels de Gauss-Manin. — Progr. in Math., vol. 2, Birkhäuser, Boston, 1979. Zbl0524.32015MR81h:32015
- [12] SAITO (M.). — Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ., t. 24, 1988, p. 849-995. Zbl0691.14007MR90k:32038
- [13] SAITO (M.). — On b-function, spectrum and rational singularity, to appear in Math. Ann. Zbl0788.32025
- [14] SAITO (M.). — On the structure of Brieskorn lattice, Ann. Inst. Fourier, t. 39, 1989, p. 27-72. Zbl0644.32005MR91i:32035
- [15] SAITO (M.). — Duality for vanishing cycle functors, Publ. RIMS, Kyoto Univ., t. 25, 1989, p. 889-921. Zbl0712.32011MR92g:32020
- [16] SAITO (M.). — Exponents and Newton polyhedra of isolated hypersurface singularities, Math. Ann., t. 281, 1988, p. 411-417. Zbl0628.32038MR89h:32027
- [17] SATO (M.), KAWAI (T.) and KASHIWARA (M.). — Microfunctions and pseudodifferential equations, Lecture Notes in Math., t. 287, 1973, p. 264-529. Zbl0277.46039MR54 #8747
- [18] STEENBRINK (J.). — Mixed Hodge structure on the vanishing cohomology, in Real and Complex Singularities (Proc. Nordic Summer School, Oslo, 1976) Alphen a/d Rijn : Sijthoff & Noordhoff, 1977, p. 525-563. Zbl0373.14007MR58 #5670
- [19] VARCHENKO (A.). — The asymptotics of holomorphic forms determine a mixed Hodge structure, Soviet Math. Dokl., t. 22, 1980, p. 772-775. Zbl0516.14007MR82g:14010
- [20] VARCHENKO (A.). — Asymptotic Hodge structure in the vanishing cohomology, Math. USSR Izvestija, t. 18, 1982, p. 465-512. Zbl0489.14003
- [21] YANO (T.). — On the theory of b-functions, Publ. RIMS, Kyoto Univ., t. 14, 1978, p. 111-202. Zbl0389.32005MR80h:32026
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