The spectrum of hypersurface singularities
Théorie de Hodge - Luminy, Juin 1987, Astérisque, no. 179-180 (1989), pp. 163-184. 
@incollection{AST_1989__179-180__163_0,
     author = {Steenbrink, J. H. M.},
     title = {The spectrum of hypersurface singularities},
     booktitle = {Th\'eorie de Hodge - Luminy, Juin 1987},
     editor = {Barlet D. and Esnault H. and Elzein F. and Verdier Jean-Louis and Viehweg E.},
     series = {Ast\'erisque},
     pages = {163--184},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {179-180},
     year = {1989},
     zbl = {0725.14031},
     language = {en},
     url = {http://www.numdam.org/item/AST_1989__179-180__163_0/}
}
TY  - CHAP
AU  - Steenbrink, J. H. M.
TI  - The spectrum of hypersurface singularities
BT  - Théorie de Hodge - Luminy, Juin 1987
AU  - Collectif
ED  - Barlet D.
ED  - Esnault H.
ED  - Elzein F.
ED  - Verdier Jean-Louis
ED  - Viehweg E.
T3  - Astérisque
PY  - 1989
SP  - 163
EP  - 184
IS  - 179-180
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_1989__179-180__163_0/
LA  - en
ID  - AST_1989__179-180__163_0
ER  - 
%0 Book Section
%A Steenbrink, J. H. M.
%T The spectrum of hypersurface singularities
%B Théorie de Hodge - Luminy, Juin 1987
%A Collectif
%E Barlet D.
%E Esnault H.
%E Elzein F.
%E Verdier Jean-Louis
%E Viehweg E.
%S Astérisque
%D 1989
%P 163-184
%N 179-180
%I Société mathématique de France
%U http://www.numdam.org/item/AST_1989__179-180__163_0/
%G en
%F AST_1989__179-180__163_0
Steenbrink, J. H. M. The spectrum of hypersurface singularities, dans Théorie de Hodge - Luminy, Juin 1987, Astérisque, no. 179-180 (1989), pp. 163-184. http://www.numdam.org/item/AST_1989__179-180__163_0/

[A] Arnol'D, V.I.: On some problems in singularity theory. In: Geometry and analysis. Papers dedicated to the memory of V.K. Patodi. Bombay 1981, pp. 1-10.

[Da 1] Danilov, V. I.: The geometry of toric varieties. Russian Math. Surveys 33², 97-153 (1978) | DOI | Zbl

[Da 2] Danilov, V. I.: Newton polyhedra and vanishing cohomology. Funct. Anal. Appl. 13, 103-115 (1979) | DOI | Zbl

[D] Deligne, P.: Le formalisme des cycles évanescents. SGA VII² Exp. XIII. Lecture Notes in Math. 340, 82-115. Springer 1973. | Zbl

[G] Goryunov, V. V.: Adjoining spectra of certain singularities. Vestnik MGU, Ser. Math. 1981 4, 19-22. | Zbl

[dJ-vS] Jong, T. De and D. Van Straten: Deformations of non-isolated singularities. Univ. of Utrecht, preprint nr. 527, June 1988

[Lê 1] Lê Dũng Tráng: Ensembles analytiques complexes avec lieu singulier de dimension un (d'après I.N. Yomdine). Séminaire sur les singularités. Publ. Math. Univ. Paris VII, 87-95 (1980)

[Lê 2] Lê Dũng Tráng: Courbes polaires et résolution des courbes planes. Preprint École Polytechnique, Paris 1985 | Zbl

[Na] Navarro Aznar, V. : Sur la théorie de Hodge-Deligne. Invent. Math. 90, 11-76 (1987. | DOI | EuDML | Zbl

[N1] Neumann, W. D.: Splicing algebraic links. Advanced Studies in Pure Mathematics 8, 1986. Complex Analytic Singularities, 349-361. | Zbl

[N2] Neumann, W. D. : A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves. Trans. Amer. Math. Soc. 268, 299-344 (1981. | DOI | Zbl

[Q] Quillen, D. : Higher algebraic K-theory I. In: Algebraic K-theory I. Lecture Notes in Math. 341, pp. 77-139. Springer 1973 | Zbl

[Sa1] Saito, M.: Mixed Hodge Modules I, II. Preprint 1986 Inst. for advanced study, Princeton NJ U.S.A. and RIMS Kyoto Univ. Japan. | Zbl

[Sa2] Saito, M.: Vanishing cycles and mixed Hodge modules. Preprint IHES/M/88/41, August 1988.

[SS] Scherk, J. and J. H. M. Steenbrink: On the mixed Hodge structure on the cohomology of the Milnor fibre. Math. Ann. 271, 641-665 (1985) | DOI | EuDML | Zbl

[Si1] Siersma, D.: Isolated line singularities. In: Singularities, Arcata 1981. Proc. Symp. Pure Math. 40 Part 2, 485-496 (1983. | Zbl

[Si2] Siersma, D. : The monodromy of (Yomdin) series of hypersurface singularities . Preprint Utrecht July 1988.

[St1] Steenbrink, J. H. M. : Limits of Hodge structures. Invent. Math. 31, 229-257 (1976. | DOI | EuDML | Zbl

[St2] Steenbrink, J. H. M.: Mixed Hodge structure on the vanishing cohomology. In: Real and complex singularities, Oslo 1976, 525-563. Sijthoff-Noordhoff, Alphen a/d Rijn 1977. | DOI | Zbl

[St3] Steenbrink, J. H. M.: Intersection form for quasi-homogeneous singularities. Compos. Math. 34, 211-223 (1977. | EuDML | Numdam | Zbl

[St4] Steenbrink, J. H. M.: Semicontinuity of the singularity spectrum. Invent. Math. 79, 557-565 (1985. | DOI | EuDML | Zbl

[St-Z] Steenbrink, J. H. M and S. Zucker: Polar curves, resolution of singularities and the filtered mixed Hodge structure on the vanishing cohomology. In: Singularities, Representation of Algebras and Vector bundles, Lambrecht 1985. Lecture Notes in Math. 1273, 178-202. Springer 1987 | DOI | Zbl

[Sv] Stevens, J.: Improvements of non-isolated surface singularities. Preprint Utrecht, March 1987

[vS] Straten, D. Van: Weakly normal surface singularities and their improvements. Thesis Leiden 1987.

[V1] Varchenko, A. N.: On semicontinuity of the spectrum and an upper bound for the number of singular points on projective hypersurfaces. Soviet Math. Dokl. 27, 735-739 (1983) | Zbl

[V2] Varchenko, A. N.: Asymptotic Hodge structure in the vanishing cohomology. Math. USSR Izvestija 18, 469-512 (1982) | DOI | Zbl

[V3] Varchenko, A. N.: The complex exponent of a singularity does not change along strata μ = const Funct. Anal. Appl. 16, 1-10 (1982. | DOI | Zbl

[Y] Yomdin, I. N.: Complex varieties with singularities of dimension one. Siberian Math. J. 15, 1061-1082 (1974) | Zbl