On microlocal b-function
Saito, Morihiko
Bulletin de la Société Mathématique de France, Tome 122 (1994), p. 163-184 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@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},
     volume = {122},
     year = {1994},
     pages = {163-184},
     doi = {10.24033/bsmf.2227},
     mrnumber = {95c:32040},
     zbl = {0810.32004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BSMF_1994__122_2_163_0}
}

Saito, Morihiko. On microlocal $b$-function. Bulletin de la Société Mathématique de France, Tome 122 (1994) pp. 163-184. doi : 10.24033/bsmf.2227. http://gdmltest.u-ga.fr/item/BSMF_1994__122_2_163_0/

[1] Brieskorn (E.). - Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math., t. 2, 1970, p. 103-161. | MR 42 #2509 | Zbl 0186.26101

[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. | MR 50 #7135 | Zbl 0266.14008

[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. | MR 83j:32009 | Zbl 0469.32004

[4] Kashiwara (M.). - B-function and holonomic systems, Inv. Math., t. 38, 1976, p. 33-53. | MR 55 #3309 | Zbl 0354.35082

[5] Kashiwara (M.). - Vanishing cycle sheaves and holonomic systems of differential equations, Lecture Notes in Math., t. 1016, 1983, p. 136-142. | MR 85e:58137 | Zbl 0566.32022

[6] Kashiwara (M.) and Kawai (T.). - Second microlocalization and asymptotic expansions, Lecture Notes in Phys., t. 126, 1980, p. 21-76. | MR 81i:58038 | Zbl 0458.46027

[7] Kouchinirenko (A.). - Polyèdres de Newton et nombres de Milnor, Invent. Math., t. 32, 1976, p. 1-31. | MR 54 #7454 | Zbl 0328.32007

[8] Malgrange (B.). - Le polynôme de Bernstein d'une singularité isolée, Lecture Notes in Math., t. 459, 1975, p. 98-119. | MR 54 #7845 | Zbl 0308.32007

[9] Malgrange (B.). - Polynôme de Bernstein-Sato et cohomologie évanescente, Astérisque, t. 101-102, 1983, p. 243-267. | MR 86f:58148 | Zbl 0528.32007

[10] Malgrange (B.). - Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup. Paris (4), t. 7, 1974, p. 405-430. | Numdam | MR 372243 | MR 51 #8459 | Zbl 0305.32008

[11] Pham (F.). - Singularités des systèmes différentiels de Gauss-Manin. - Progr. in Math., vol. 2, Birkhäuser, Boston, 1979. | MR 553954 | MR 81h:32015 | Zbl 0524.32015

[12] Saito (M.). - Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ., t. 24, 1988, p. 849-995. | MR 1000123 | MR 90k:32038 | Zbl 0691.14007

[13] Saito (M.). - On b-function, spectrum and rational singularity, to appear in Math. Ann. | MR 1198841 | Zbl 0788.32025

[14] Saito (M.). - On the structure of Brieskorn lattice, Ann. Inst. Fourier, t. 39, 1989, p. 27-72. | Numdam | MR 1011977 | MR 91i:32035 | Zbl 0644.32005

[15] Saito (M.). - Duality for vanishing cycle functors, Publ. RIMS, Kyoto Univ., t. 25, 1989, p. 889-921. | MR 1045997 | MR 92g:32020 | Zbl 0712.32011

[16] Saito (M.). - Exponents and Newton polyhedra of isolated hypersurface singularities, Math. Ann., t. 281, 1988, p. 411-417. | MR 954149 | MR 89h:32027 | Zbl 0628.32038

[17] Sato (M.), Kawai (T.) and Kashiwara (M.). - Microfunctions and pseudodifferential equations, Lecture Notes in Math., t. 287, 1973, p. 264-529. | MR 420735 | MR 54 #8747 | Zbl 0277.46039

[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. | MR 485870 | MR 58 #5670 | Zbl 0373.14007

[19] Varchenko (A.). - The asymptotics of holomorphic forms determine a mixed Hodge structure, Soviet Math. Dokl., t. 22, 1980, p. 772-775. | MR 82g:14010 | Zbl 0516.14007

[20] Varchenko (A.). - Asymptotic Hodge structure in the vanishing cohomology, Math. USSR Izvestija, t. 18, 1982, p. 465-512. | Zbl 0489.14003

[21] Yano (T.). - On the theory of b-functions, Publ. RIMS, Kyoto Univ., t. 14, 1978, p. 111-202. | MR 499664 | MR 80h:32026 | Zbl 0389.32005