@article{BSMF_1994__122_2_163_0, author = {Saito, Morihiko}, title = {On microlocal $b$-function}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {163--184}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {122}, number = {2}, year = {1994}, doi = {10.24033/bsmf.2227}, mrnumber = {95c:32040}, zbl = {0810.32004}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2227/} }
TY - JOUR AU - Saito, Morihiko TI - On microlocal $b$-function JO - Bulletin de la Société Mathématique de France PY - 1994 SP - 163 EP - 184 VL - 122 IS - 2 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2227/ DO - 10.24033/bsmf.2227 LA - en ID - BSMF_1994__122_2_163_0 ER -
Saito, Morihiko. On microlocal $b$-function. Bulletin de la Société Mathématique de France, Tome 122 (1994) no. 2, pp. 163-184. doi : 10.24033/bsmf.2227. http://www.numdam.org/articles/10.24033/bsmf.2227/
[1] Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math., t. 2, 1970, p. 103-161. | MR | Zbl
. -[2] 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. | MR | Zbl
. -[3] Minimal characteristic exponent of the Gauss-Manin connection of isolated singular point and Newton polyhedron, Math. Ann., t. 259, 1982, p. 431-441. | MR | Zbl
and . -[4] B-function and holonomic systems, Inv. Math., t. 38, 1976, p. 33-53. | MR | Zbl
. -[5] Vanishing cycle sheaves and holonomic systems of differential equations, Lecture Notes in Math., t. 1016, 1983, p. 136-142. | MR | Zbl
. -[6] Second microlocalization and asymptotic expansions, Lecture Notes in Phys., t. 126, 1980, p. 21-76. | MR | Zbl
and . -[7] Polyèdres de Newton et nombres de Milnor, Invent. Math., t. 32, 1976, p. 1-31. | MR | Zbl
. -[8] Le polynôme de Bernstein d'une singularité isolée, Lecture Notes in Math., t. 459, 1975, p. 98-119. | MR | Zbl
. -[9] Polynôme de Bernstein-Sato et cohomologie évanescente, Astérisque, t. 101-102, 1983, p. 243-267. | Numdam | MR | Zbl
. -[10] Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup. Paris (4), t. 7, 1974, p. 405-430. | EuDML | Numdam | MR | Zbl
. -[11] Singularités des systèmes différentiels de Gauss-Manin. - Progr. in Math., vol. 2, Birkhäuser, Boston, 1979. | MR | Zbl
. -[12] Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ., t. 24, 1988, p. 849-995. | MR | Zbl
. -[13] On b-function, spectrum and rational singularity, to appear in Math. Ann. | EuDML | MR | Zbl
. -[14] On the structure of Brieskorn lattice, Ann. Inst. Fourier, t. 39, 1989, p. 27-72. | EuDML | Numdam | MR | Zbl
. -[15] Duality for vanishing cycle functors, Publ. RIMS, Kyoto Univ., t. 25, 1989, p. 889-921. | MR | Zbl
. -[16] Exponents and Newton polyhedra of isolated hypersurface singularities, Math. Ann., t. 281, 1988, p. 411-417. | EuDML | MR | Zbl
. -[17] Microfunctions and pseudodifferential equations, Lecture Notes in Math., t. 287, 1973, p. 264-529. | MR | Zbl
, and . -[18] 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. | MR | Zbl
. -[19] The asymptotics of holomorphic forms determine a mixed Hodge structure, Soviet Math. Dokl., t. 22, 1980, p. 772-775. | MR | Zbl
. -[20] Asymptotic Hodge structure in the vanishing cohomology, Math. USSR Izvestija, t. 18, 1982, p. 465-512. | Zbl
. -[21] On the theory of b-functions, Publ. RIMS, Kyoto Univ., t. 14, 1978, p. 111-202. | MR | Zbl
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