Monodromy conjecture for some surface singularities

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1. [1] A'Campo N., La fonction zeta d'une monodromie, Comment. Math. Helv.50 (1975) 233-248. Zbl0333.14008MR371889
2. [2] Artal Bartolo E., Forme de Jordan de la monodromie des singularités superisolées de surfaces, Mem. Amer. Math. Soc.109 (525) (1994). Zbl0918.32017MR1204839
3. [3] Artal Bartolo E., Sur les couples de Zariski, J. Algebraic Geom.3 (2) (1994) 223-247. Zbl0823.14013MR1257321
4. [4] Artal Bartolo E., Cassou-Noguès Pi., Luengo I., Melle-Hernández A., Denef–Loeser zeta function is not a topological invariant, J. London Math. Soc. (2001), to appear. Zbl1020.32023
5. [5] Artal Bartolo E., Luengo I., Melle-Hernández A., On a conjecture of W. Veys, Math. Ann.317 (2) (2000) 325-327. Zbl0969.14030MR1764241
6. [6] Denef J., Report on Igusa's local zeta function, Astérisque, 201–203, 1991, Exp. No. 741, Séminaire Bourbaki, Vol. 1990/91, 1992, 359–386. Zbl0749.11054MR1157848
7. [7] Denef J., Loeser F., Caractéristiques d'Euler–Poincaré, fonctions zêta locales et modifications analytiques, J. Amer. Math. Soc.5 (4) (1992) 705-720. Zbl0777.32017MR1151541
8. [8] Denef J., Loeser F., Motivic Igusa zeta functions, J. Algebraic Geom.7 (3) (1998) 505-537. Zbl0943.14010MR1618144
9. [9] Denef J., Loeser F., Germs of arcs on singular algebraic varieties and motivic integration, Invent. Math.135 (1) (1999) 201-232. Zbl0928.14004MR1664700
10. [10] Denef J., Loeser F., Geometry on arc spaces of algebraic varieties, to appear in Proceedings of the Third European Congress of Mathematics, Barcelona 2000, p. 22, math.AG/0006050. Zbl1079.14003MR1905328
11. [11] Dimca A., On the connectivity of a complex affine hyperserfaces, Topology29 (1990) 511-514. Zbl0771.57010MR1071372
12. [12] Dimca A., Némethi A., On the monodromy of complex polynomials, Duke Math. J.108 (2) (2001) 199-209. Zbl1020.32022MR1833390
13. [13] Eisenbud D., Neumann W.D., Three-Dimensional Link Theory and Invariance of Plane Curve Singularities, Annals of Mathematics Studies, 110, Princeton University Press, Princeton, NJ, 1985. Zbl0628.57002MR817982
14. [14] Esnault H., Fibre de Milnor d'un cône sur une courbe plane singulière, Invent. Math.68 (3) (1982) 477-496. Zbl0475.14018MR669426
15. [15] Gurjar R., Parameswaran A., Open surfaces with non-positive euler characteristic, Compositio Math.99 (1995) 213-229. Zbl0849.14013MR1361739
16. [16] de Jong A.J., Steenbrink J., Proof of a conjecture of W. Veys, Indag. Math. (N.S.)6 (1) (1995) 99-104. Zbl0857.14019MR1324440
17. [17] Kashiwara H., Fonctions rationnelles de type (0,1) sur le plan projectif complexe, Osaka J. Math.24 (3) (1987) 521-577. Zbl0668.14017MR923877
18. [18] Kizuka T., Rational functions of C∗-type on the two-dimensional complex projective space, Tohoku Math. J. (2)38 (1) (1986) 123-178. Zbl0577.14021
19. [19] Kojima H., On Veys' conjecture, Indag. Math. (N.S.)10 (4) (1999) 537-538. Zbl1039.14012MR1820550
20. [20] Libgober A., Alexander polynomial of plane algebraic curves and cyclic multiple planes, Duke Math. J.49 (4) (1982) 833-851. Zbl0524.14026MR683005
21. [21] Loeser F., Fonctions d'Igusa p-adiques et polynômes de Bernstein, Amer. J. Math.110 (1) (1988) 1-21. Zbl0644.12007MR926736
22. [22] Loeser F., Fonctions d'Igusa p-adiques, polynômes de Bernstein, et polyèdres de Newton, J. Reine Angew. Math.412 (1990) 75-96. Zbl0713.11083MR1079002
23. [23] Loeser F., Vaquié M., Le polynôme d'Alexander d'une courbe plane projective, Topology29 (2) (1990) 163-173. Zbl0743.14013MR1056267
24. [24] Looijenga E., Motivic measures, Sèminaire Bourbaki, exposé 874, to appear in Asterisque, 2000, p. 25, math.AG/0006220. Zbl0996.14011MR1886763
25. [25] Luengo I., The μ-constant stratum is not smooth, Invent. Math.90 (1) (1987) 139-152. Zbl0627.32018
26. [26] Rodrigues B., Veys W., Holomorphy of Igusa's and topological zeta functions for homogeneous polynomials, Pacific J. Math., to appear. Zbl1054.11061MR1875902
27. [27] Siersma D., Variation mappings on singularities with a 1-dimensional critical locus, Topology30 (3) (1991) 445-469. Zbl0746.32014MR1113689
28. [28] Stevens J., On the μ-constant stratum and the V-filtration: an example, Math. Z.201 (1) (1989) 139-144. Zbl0649.32016
29. [29] Veys W., Poles of Igusa's local zeta function and monodromy, Bull. Soc. Math. France121 (4) (1993) 545-598. Zbl0812.14014MR1254752
30. [30] Veys W., Determination of the poles of the topological zeta function for curves, Manuscripta Math.87 (4) (1995) 435-448. Zbl0851.14012MR1344599
31. [31] Veys W., Zeta functions for curves and log canonical models, Proc. London Math. Soc. (3)74 (2) (1997) 360-378. Zbl0872.32022MR1425327
32. [32] Veys W., Structure of rational open surfaces with non-positive Euler characteristic, Math. Ann.312 (1998) 527-548. Zbl0913.14009MR1654753
33. [33] Veys W., Zeta functions and ‘Konsevitch invariants’ on singular varities, Canad. J. Math.53 (4) (2001) 834-856. Zbl1073.14501
34. [34] Yoshihara H., On plane rational curves, Proc. Japan Acad. Ser. A Math. Sci.55 (4) (1979) 152-155. Zbl0432.14019MR533711

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