Pole order filtration on the cohomology of algebraic links

Yakov Karpishpan

Compositio Mathematica (1991)

  • Volume: 78, Issue: 2, page 213-226
  • ISSN: 0010-437X

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Karpishpan, Yakov. "Pole order filtration on the cohomology of algebraic links." Compositio Mathematica 78.2 (1991): 213-226. <http://eudml.org/doc/90087>.

@article{Karpishpan1991,
author = {Karpishpan, Yakov},
journal = {Compositio Mathematica},
keywords = {hypersurface with isolated singularity; Hodge filtration; pole order filtration; Milnor fiber},
language = {eng},
number = {2},
pages = {213-226},
publisher = {Kluwer Academic Publishers},
title = {Pole order filtration on the cohomology of algebraic links},
url = {http://eudml.org/doc/90087},
volume = {78},
year = {1991},
}

TY - JOUR
AU - Karpishpan, Yakov
TI - Pole order filtration on the cohomology of algebraic links
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 78
IS - 2
SP - 213
EP - 226
LA - eng
KW - hypersurface with isolated singularity; Hodge filtration; pole order filtration; Milnor fiber
UR - http://eudml.org/doc/90087
ER -

References

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  2. [DeIII] P. Deligne, Théorie de Hodge III, Publ. Math. I.H.E.S.44 (1972), 5-77. Zbl0237.14003MR498552
  3. [Du] A. Durfee, Mixed Hodge structures on punctured neighborhoods, Duke Math. J.50 (1983), 1017-1040. Zbl0545.14005MR726316
  4. [D-H] A. Durfee and R. Hain, Mixed Hodge structures on the homotopy of links, Math. Annalen280 (1988), 69-83. Zbl0617.14012MR928298
  5. [Gri] P. Griffiths, On the periods of certain rational integrals: I, II, Ann. of Math.90 (1969), 460-541. Zbl0215.08103MR260733
  6. [Gro] A. Grothendieck, On the De Rham cohomology of algebraic varieties, Publ. Math. I.H.E.S.29 (1966), 95-103. Zbl0145.17602MR199194
  7. [M] J. Milnor, Singular points of complex hypersurfaces, Ann. Math. Studies61, Princeton University Press, 1968. Zbl0184.48405MR239612
  8. [NA] V. Navarro Aznar, Sur la théorie de Hodge-Deligne, Invent. Math.90 (1987), 11-76. Zbl0639.14002MR906579
  9. [Ph] F. Pham, Singularités des Systèmes Différentielles de Gauss-Manin, Progress in Math.2, Boston -Basel-Stuttgart: Birkhäuser, 1979. Zbl0524.32015MR553954
  10. [Sa] Morihiko Saito, Supplemtnt to "Gauss-Manin systems and mixed Hodge structure", in Analyse et Topologie sur les Espaces Singuliers (II-III), Astérisque101-102 (1983), 320-331. Zbl0561.32011MR737937
  11. [S-S] J. Scherk and J. Steenbrink, On the mixed Hodge structure on the cohomology of the Milnor fiber, Math. Annalen271 (1985), 641-665. Zbl0618.14002MR790119
  12. [St] J. Steenbrink, Mixed Hodge structure on the vanishing cohomology, in Real and Complex Singularities, Oslo1976, ed. P. Holm, Alphen aan den Rijn: Sijthoff & Noordhoff, 1977, pp. 525-563. Zbl0373.14007MR485870
  13. [V1] A. Varchenko, Gauss-Manin connection of isolated singular point and Bernstein polynomial, Bull. Sc. math., 2e série 104 (1980), 205-223. Zbl0434.32008MR579673
  14. [V2] A. Varchenko, Asymptotic Hodge structure in the vanishing cohomology, Math. USSR Izv.18 (1982), 469-512. Zbl0489.14003

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