Multiplier ideals, V-filtration, and spectrum

Journal of Algebraic Geometry

Volumn 14, Issue 2, 2005, Pages 269-282

  Budur, Nero ^a,b   Saito, Morihiko ^c  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

^c KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15944389029     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: 10.1090/S1056-3911-04-00398-4     Document Type: Article

References (31)

1. Beilinson, A., Bernstein, J. and Deligne, P., Faisceaux pervers, Astérisque 100, Soc. Math. France, Paris, 1982. MR0751966 (86g:32015)
2. Borel, A. et al., Algebraic D-modules, Perspectives in Math. 2, Academic Press, 1987. MR0882000 (89g:32014)
3. Budur, N., thesis.
4. _, On Hodge spectrum and multiplier ideals, Math. Ann. 327 (2003), no. 2, 257-270. MR2015069
5. _, Multiplier ideals and filtered D-modules, preprint.
6. Deligne, P., Théorie de Hodge I, Actes Congrès Intern. Math., Part 1 (1970), 425-430; II, Publ. Math. IHES, 40 (1971), 5-58 ; III, ibid. 44 (1974), 5-77. MR0441965 (56:356)
7. Deligne, P., Théorie de Hodge I, Actes Congrès Intern. Math., Part 1 (1970), 425-430; II, Publ. Math. IHES, 40 (1971), 5-58 ; III, ibid. 44 (1974), 5-77. MR0441965 (56:356)
8. Deligne, P., Théorie de Hodge I, Actes Congrès Intern. Math., Part 1 (1970), 425-430; II, Publ. Math. IHES, 40 (1971), 5-58 ; III, ibid. 44 (1974), 5-77. MR0441965 (56:356)
9. _, Le formalisme des cycles évanescents, in SGA7 XIII and XIV, Lect. Notes in Math. 340, Springer, Berlin, 1973, pp. 82-115 and 116-164.
10. 2-Methods and effective results in algebraic geometry, Proc. Intern. Congr. Math. (Zürich, 1994), Birkhäuser, Basel, 1995, pp. 817-827. MR1403982 (98e:32055)
11. Denef, J. and Loeser, P., Motivic Igusa zeta functions, J. Alg. Geom. 7 (1998), 505-537. MR1618144 (99j:14021)
12. Ein, L., Multiplier ideals, vanishing theorems and applications, Proc. Symp. Pure Math., A.M.S. 62 Part 1, (1997), 203-219. MR1492524 (98m:14006)
13. Ein, L. and Lazarsfeld, R., Singularities of theta divisors and the birational geometry of irregular varieties, J. Amer. Math. Soc. 10 (1997), 243-258. MR1396893 (97d:14063)
14. Ein, L., Lazarsfeld, R., Smith, K.E. and Varolin, D., Jumping coefficients of multiplier ideals, Duke Math. J. 123 (2004), no. 3, 469-506. MR2068967
15. Grauert, H. and Riemenschneider, O., Verschwindungssätze für analytische Kohomologiegruppen auf Komplexen Räumen, Inv. Math. 11 (1970), 263-292. MR0302938 (46:2081)
16. Kashiwara, M., B-functions and holonomic systems, Inv. Math. 38 (1976/77), 33-53. MR0430304 (55:3309)
17. _, Vanishing cycle sheaves and holonomic systems of differential equations, Algebraic geometry (Tokyo/Kyoto, 1982), Lect. Notes in Math. 1016, Springer, Berlin, 1983, pp. 134-142. MR0726425 (85e:58137)
18. Kashiwara, M. and Kawai, T., Second-microlocalization and asymptotic expansions, Proc. Internat. Colloq., Centre Phys. (Les Houches, 1979), Lecture Notes in Phys., 126, Springer, Berlin, 1980, pp. 21-76. MR0579740 (81i:58038)
19. Kollár, J., Singularities of pairs, Proc. Symp. Pure Math., A.M.S. 62 Part 1, (1997), 221-287. MR1492525 (99m:14033)
20. Loeser, F., Quelques conséquences locales de la théorie de Hodge, Ann. Inst. Fourier 35 (1985) 75-92. MR0781779 (86g:32007)
21. Malgrange, B., Le polynôme de Bernstein d'une singularité isolée, in Lect. Notes in Math. 459, Springer, Berlin, 1975, pp. 98-119. MR0419827 (54:7845)
22. _, Polynôme de Bernstein-Sato et cohomologie évanescente, Analysis and topology on singular spaces, II, III (Luminy, 1981), Astérisque 101-102 (1983), 243-267. MR0737934 (86f:58148)
23. Nadel, A.M., Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature, Ann. Math. 132 (1990), 549-596. MR1078269 (92d:32038)
24. Navarro Aznar, V., Sur la théorie de Hodge-Deligne, Inv. Math. 90 (1987), 11-76. MR0906579 (88j:32037)
25. Saito, M., Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ. 24 (1988), 849-995. MR1000123 (90k:32038)
26. _, Mixed Hodge modules, Publ. RIMS, Kyoto Univ. 26 (1990), 221-333. MR1047415 (91m:14014)
27. _, On b-function, spectrum and rational singularity, Math. Ann. 295 (1993), 51-74. MR1198841 (95b:32051)
28. Steenbrink, J.H.M., 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, pp. 525-563. MR0485870 (58:5670)
29. _, The spectrum of hypersurface singularity, Astérisque 179-180 (1989), 163-184. MR1042806 (90m:32027)
30. Vaquié, M., Irrégularité des revêtements cycliques, in Singularities (Lille, 1991), London Math. Soc. Lecture Note Ser., 201, Cambridge Univ. Press, Cambridge, 1994, pp. 383-419.
31. Varchenko, A., Asymptotic Hodge structure in the vanishing cohomology, Math. USSR Izv. 18 (1982), 465-512.