On the monodromy at infinity of a polynomial map

R. García López; A. Némethi

Compositio Mathematica (1996)

  • Volume: 100, Issue: 2, page 205-231
  • ISSN: 0010-437X

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García López, R., and Némethi, A.. "On the monodromy at infinity of a polynomial map." Compositio Mathematica 100.2 (1996): 205-231. <http://eudml.org/doc/90427>.

@article{GarcíaLópez1996,
author = {García López, R., Némethi, A.},
journal = {Compositio Mathematica},
keywords = {polynomial map; monodromy; mixed Hodge structure},
language = {eng},
number = {2},
pages = {205-231},
publisher = {Kluwer Academic Publishers},
title = {On the monodromy at infinity of a polynomial map},
url = {http://eudml.org/doc/90427},
volume = {100},
year = {1996},
}

TY - JOUR
AU - García López, R.
AU - Némethi, A.
TI - On the monodromy at infinity of a polynomial map
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 100
IS - 2
SP - 205
EP - 231
LA - eng
KW - polynomial map; monodromy; mixed Hodge structure
UR - http://eudml.org/doc/90427
ER -

References

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  1. 1 Arnold, V., Varchenko, A. and Goussein-Zadé, S.: Singularités des applications différentiables. Mir, Moscou, 1986. 
  2. 2 Broughton, S.A.: Milnor numbers and the topology of polynomial hypersurfaces. Invent. math., 92:217-241, 1988. Zbl0658.32005MR936081
  3. 3 Clemens, C.H.: Degeneration of Kähler manifolds. Duke Math. J.44, 215-290, 1977. Zbl0353.14005MR444662
  4. 4 Deligne, P.: Equations différentielles à points singuliers réguliers. Lecture Notes in Mathematics, vol. 163. Springer Verlag, 1970. Zbl0244.14004MR417174
  5. 5 Dimca, A.: Singularities and Topology of Hypersurfaces. Universitext. Springer Verlag, 1992. Zbl0753.57001MR1194180
  6. 6 Dimca, A.: On the connectivity of affine hypersurfaces. Topology, 29: 511-514, 1990. Zbl0771.57010MR1071372
  7. 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. Zbl0628.57002MR817982
  8. 8 Kouchnirenko, A.G.: Polièdres de Newton et nombres de Milnor. Invent. math., 32: 1-31, 1976. Zbl0328.32007MR419433
  9. 9 Libgober, A.: Alexander polynomial of plane algebraic curves and cyclic multiple planes. Duke Math. J., 49: 833-851, 1982. Zbl0524.14026MR683005
  10. 10 Looijenga, E.: Isolated Singular Points on Complete Intersections. London Mathematical Society Lecture Notes Series 77. Cambridge University Press, 1984. Zbl0552.14002MR747303
  11. 11 Milnor, J.: Singular Points of Complex Hypersurfaces. Annals of Math. Studies, vol. 61. Princeton University Press, 1968. Zbl0184.48405MR239612
  12. 12 Navarro Aznar, V.: Sur la théorie de Hodge des variétés algébriques á singularités isolées. In Asterisque, vol. 130, 272-307, 1985. Zbl0599.14007MR804059
  13. 13 Némethi, A.: Lefschetz Theory for complex affine varieties. Rev. Roumaine Math., 33:233-250, 1988. Zbl0665.14003MR948160
  14. 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. Zbl0724.32020MR1112280
  15. 15 Némethi, A. and Zaharia, A.: Milnor fibration at infinity. Indag. Mathem., 3:323-335, 1992. Zbl0806.57021MR1186741
  16. 16 Neumann, W.: Complex algebraic plane curves via their links at infinity. Invent. math., 98:445-489, 1989. Zbl0734.57011MR1022302
  17. 17 Pham, F.: Vanishing homologies and the n variable saddlepoint method. In Proc. Symp. Pure Math., vol. 40, 319-333,1983. Zbl0519.49026MR713258
  18. 18 Saito, M.: Mixed Hodge modules. Publ. RIMS Kyoto Univ.26, 221-333, 1990. Zbl0727.14004MR1047415
  19. 19 Saito, M.: Decomposition theorem for proper Kähler morphisms. Tôhoku Math. J.42, 127-148, 1990. Zbl0699.14009MR1053945
  20. 20 Schmid, W.: Variation of Hodge structures: the singularities of the period mapping. Inv. math.22, 211-319, 1973. Zbl0278.14003
  21. 21 Siersma, D.: The monodromy of a series of hypersurface singularities. Comment. Math. Helvetici, 65: 181-197, 1990. Zbl0723.32015MR1057239
  22. 22 Steenbrink, J.H.M.: Mixed Hodge structure on the vanishing cohomology. In Real and Complex Singularities, Oslo1977, pages 397-403, Alphen a/d Rhijn, 1977. Sijthoff & Noordhoff. Zbl0373.14007MR485870
  23. 23 Steenbrink, J.H.M.: Limits of Hodge Structures. Inv. math., 31:229-257, 1976. Zbl0303.14002MR429885
  24. 24 Steenbrink, J.H.M.: Mixed Hodge structures associated with isolated singularities. In Proc. Symp. Pure Math., vol. 40, pages 513-536, 1983. Zbl0515.14003MR713277
  25. 25 Steenrod, N.: The topology of fibre bundles. Princeton University Press, 1951. Zbl0054.07103MR39258
  26. 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. Zbl0697.14027
  27. 27 Zariski, O.: Algebraic surfaces, 2nd. suppl. ed. Ergebnisse 61, Springer Verlag, 1971. Zbl0219.14020MR469915

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