Around the intersection form of an isolated singularity of hypersurface

D. Barlet; A. N. Varchenko

Compositio Mathematica (1988)

  • Volume: 67, Issue: 2, page 149-163
  • ISSN: 0010-437X

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Barlet, D., and Varchenko, A. N.. "Around the intersection form of an isolated singularity of hypersurface." Compositio Mathematica 67.2 (1988): 149-163. <http://eudml.org/doc/89914>.

@article{Barlet1988,
author = {Barlet, D., Varchenko, A. N.},
journal = {Compositio Mathematica},
keywords = {intersection form of isolated singularity},
language = {eng},
number = {2},
pages = {149-163},
publisher = {Kluwer Academic Publishers},
title = {Around the intersection form of an isolated singularity of hypersurface},
url = {http://eudml.org/doc/89914},
volume = {67},
year = {1988},
}

TY - JOUR
AU - Barlet, D.
AU - Varchenko, A. N.
TI - Around the intersection form of an isolated singularity of hypersurface
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 67
IS - 2
SP - 149
EP - 163
LA - eng
KW - intersection form of isolated singularity
UR - http://eudml.org/doc/89914
ER -

References

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  1. [B.0] D. Barlet: Développements asymptotiques des fonctions obtenues par intégration dans les fibres. Inv. Math.68 (1982) 129-174. Zbl0508.32003
  2. [B.1] D. Barlet: La forme hermitienne canonique sur la cohomologie de la fibre de Milnor d'une hypersurface à singularité isolée. Inv. Math.81 (1985) 115-153. Zbl0574.32011MR796194
  3. [B.2] D. Barlet: le Calcul de la forme hermitienne canonique pour Xa + Yb + Zc. In Lecture Note n° 1198, pp. 35-46, Séminaire Dolbeault/Lelong/Skoda (1983/1984). Zbl0598.32015MR874759
  4. [B.3] D. Barlet: Le calcul de la forme hermitienne canonique pour un polynôme homogène à singularité isolée. Journal de Crelles362, (1985) 179-196. Zbl0581.32009MR809974
  5. [G] P. Griffiths: On the periods of certain rational integrals I. Ann. Math.90 (1969) 460-495. Zbl0215.08103MR260733
  6. [L] J. Leray: Le calcul différentiel et intégral sur une variété analytique complexe (problème de Cauchy III). Bull. Soc. Math. France87 (1959). Zbl0199.41203MR125984
  7. [L] F. Loeser: A propos de la forme hermitienne canonique d'une singularité isolée d'hypersurface. Bull. Soc. Math. France114 (1986) 385-392. Zbl0652.32009MR878243
  8. [S] J. Scherk: On the monodromy theorem for isolated hypersurface singularities. Inv. Math.58 (1980). Zbl0432.32010MR571577
  9. [V.1] A.N. Varchenko: Gauss-Manin connection of isolated singular point and Bernstein polynomial. Bull. Sci. math. (2) 104, (1980) 205-223. Zbl0434.32008MR579673
  10. [V.2] A.N. Varchenko: The complex singularity index does not change along the stratum μ = const. Funk. Anal. i Prilozken16(a) (1982) 1-12. Zbl0498.32010
  11. [V.3] A.N. Varchenko: On the local residue and the intersection form on the vanishing cohomology. Math. USSR Izvestiya, 26(1) (1986) 31-52, translated from изв Akaq Hayk CCCP Cep. Matem. Tom. 45, n° 1 (1985). Zbl0583.32011

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