On the monodromy at infinity of a polynomial map
García López, R. ; Némethi, A.
Compositio Mathematica, Tome 104 (1996), p. 205-231 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{CM_1996__100_2_205_0,
     author = {Garc\'\i a L\'opez, Ricardo and N\'emethi, Andr\'as},
     title = {On the monodromy at infinity of a polynomial map},
     journal = {Compositio Mathematica},
     volume = {104},
     year = {1996},
     pages = {205-231},
     mrnumber = {1383465},
     zbl = {0855.32016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1996__100_2_205_0}
}

García López, R.; Némethi, A. On the monodromy at infinity of a polynomial map. Compositio Mathematica, Tome 104 (1996) pp. 205-231. http://gdmltest.u-ga.fr/item/CM_1996__100_2_205_0/

1 Arnold, V., Varchenko, A. and Goussein-Zadé, S.: Singularités des applications différentiables. Mir, Moscou, 1986.

2 Broughton, S.A.: Milnor numbers and the topology of polynomial hypersurfaces. Invent. math., 92:217-241, 1988. | MR 936081 | Zbl 0658.32005

3 Clemens, C.H.: Degeneration of Kähler manifolds. Duke Math. J. 44, 215-290, 1977. | MR 444662 | Zbl 0353.14005

4 Deligne, P.: Equations différentielles à points singuliers réguliers. Lecture Notes in Mathematics, vol. 163. Springer Verlag, 1970. | MR 417174 | Zbl 0244.14004

5 Dimca, A.: Singularities and Topology of Hypersurfaces. Universitext. Springer Verlag, 1992. | MR 1194180 | Zbl 0753.57001

6 Dimca, A.: On the connectivity of affine hypersurfaces. Topology, 29: 511-514, 1990. | MR 1071372 | Zbl 0771.57010

7 Eisenbud, D. and Neumann, W.: Three dimensional link theory and invariants of plane curve singularities. Annals of Math. Studies vol. 110. Princeton Univ. Press, 1985. | MR 817982 | Zbl 0628.57002

8 Kouchnirenko, A.G.: Polièdres de Newton et nombres de Milnor. Invent. math., 32: 1-31, 1976. | MR 419433 | Zbl 0328.32007

9 Libgober, A.: Alexander polynomial of plane algebraic curves and cyclic multiple planes. Duke Math. J., 49: 833-851, 1982. | MR 683005 | Zbl 0524.14026

10 Looijenga, E.: Isolated Singular Points on Complete Intersections. London Mathematical Society Lecture Notes Series 77. Cambridge University Press, 1984. | MR 747303 | Zbl 0552.14002

11 Milnor, J.: Singular Points of Complex Hypersurfaces. Annals of Math. Studies, vol. 61. Princeton University Press, 1968. | MR 239612 | Zbl 0184.48405

12 Navarro Aznar, V.: Sur la théorie de Hodge des variétés algébriques á singularités isolées. In Asterisque, vol. 130, 272-307, 1985. | MR 804059 | Zbl 0599.14007

13 Némethi, A.: Lefschetz Theory for complex affine varieties. Rev. Roumaine Math., 33:233-250, 1988. | MR 948160 | Zbl 0665.14003

14 Némethi, A.: The Milnor fiber and the zeta function of the singularities of type f = P(h, g). Comp. math., 79:63-97,1991. | Numdam | MR 1112280 | Zbl 0724.32020

15 Némethi, A. and Zaharia, A.: Milnor fibration at infinity. Indag. Mathem., 3:323-335, 1992. | MR 1186741 | Zbl 0806.57021

16 Neumann, W.: Complex algebraic plane curves via their links at infinity. Invent. math., 98:445-489, 1989. | MR 1022302 | Zbl 0734.57011

17 Pham, F.: Vanishing homologies and the n variable saddlepoint method. In Proc. Symp. Pure Math., vol. 40, 319-333,1983. | MR 713258 | Zbl 0519.49026

18 Saito, M.: Mixed Hodge modules. Publ. RIMS Kyoto Univ. 26, 221-333, 1990. | MR 1047415 | Zbl 0727.14004

19 Saito, M.: Decomposition theorem for proper Kähler morphisms. Tôhoku Math. J. 42, 127-148, 1990. | MR 1053945 | Zbl 0699.14009

20 Schmid, W.: Variation of Hodge structures: the singularities of the period mapping. Inv. math. 22, 211-319, 1973. | Zbl 0278.14003

21 Siersma, D.: The monodromy of a series of hypersurface singularities. Comment. Math. Helvetici, 65: 181-197, 1990. | MR 1057239 | Zbl 0723.32015

22 Steenbrink, J.H.M.: Mixed Hodge structure on the vanishing cohomology. In Real and Complex Singularities, Oslo 1977, pages 397-403, Alphen a/d Rhijn, 1977. Sijthoff & Noordhoff. | MR 485870 | Zbl 0373.14007

23 Steenbrink, J.H.M.: Limits of Hodge Structures. Inv. math., 31:229-257, 1976. | MR 429885 | Zbl 0303.14002

24 Steenbrink, J.H.M.: Mixed Hodge structures associated with isolated singularities. In Proc. Symp. Pure Math., vol. 40, pages 513-536, 1983. | MR 713277 | Zbl 0515.14003

25 Steenrod, N.: The topology of fibre bundles. Princeton University Press, 1951. | MR 39258 | Zbl 0054.07103

26 Van Geemen, B. and Werner, J.: Nodal quintics in P4. In Arithmetic of Complex Manifolds. Springer Verlag, Lecture Notes in Mathematics, vol. 1399, 48-59, 1988. | Zbl 0697.14027

27 Zariski, O.: Algebraic surfaces, 2nd. suppl. ed. Ergebnisse 61, Springer Verlag, 1971. | MR 469915 | Zbl 0219.14020