Monodromy and weight filtration for smoothings of isolated singularities

J. H. M. Steenbrink

Compositio Mathematica (1995)

  • Volume: 97, Issue: 1-2, page 285-293
  • ISSN: 0010-437X

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Steenbrink, J. H. M.. "Monodromy and weight filtration for smoothings of isolated singularities." Compositio Mathematica 97.1-2 (1995): 285-293. <http://eudml.org/doc/90380>.

@article{Steenbrink1995,
author = {Steenbrink, J. H. M.},
journal = {Compositio Mathematica},
keywords = {isolated singularity; filtration of the limit mixed Hodge structure; vanishing cohomology; intersection form; Hodge numbers},
language = {eng},
number = {1-2},
pages = {285-293},
publisher = {Kluwer Academic Publishers},
title = {Monodromy and weight filtration for smoothings of isolated singularities},
url = {http://eudml.org/doc/90380},
volume = {97},
year = {1995},
}

TY - JOUR
AU - Steenbrink, J. H. M.
TI - Monodromy and weight filtration for smoothings of isolated singularities
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 97
IS - 1-2
SP - 285
EP - 293
LA - eng
KW - isolated singularity; filtration of the limit mixed Hodge structure; vanishing cohomology; intersection form; Hodge numbers
UR - http://eudml.org/doc/90380
ER -

References

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  1. 1. M. Artin, Algebraic approximation of structures over complete local rings, Publ. Math. I.H.E.S., 36 (1969) 23-58. Zbl0181.48802MR268188
  2. 2. H. Hironaka, On the equivalence of singularities: I, Arithmetical algebraic geometry. Proceedings, New York: Harper and Row1965. Zbl0147.20502MR201433
  3. 3. E.J.N. Looijenga, Isolated singular points on complete intersections, London Math. Soc. Lecture Note Series77, Cambridge University Press1984. Zbl0552.14002MR747303
  4. 4. E.J.N. Looijenga, Riemann-Roch and smoothings of singularities, Topology25 (1986) 293-302. Zbl0654.32007MR842426
  5. 5. A. Némethi, The mixed Hodge structure of an ICIS, I. Preliminary version November 1994. 
  6. 6. M. Saito, Hodge structure via filtered D-modules, in: Systèmes différentiels et singularités, A. Galligo, M. Granger, Ph. Maisonobe ed., Astérisque130 (1985) 342-351. Zbl0621.14008MR804062
  7. 7. W. Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent. Math.22 (1973), 211-320. Zbl0278.14003MR382272
  8. 8. J.H.M.Steenbrink, MixedHodge structure on the vanishing cohomology. In: Real and complex singularities, Oslo1976. P. Holm ed. pp. 525-563, Sijthoff- Noordhoff, Alphen a/d Rijn 1977. Zbl0373.14007MR485870
  9. 9. J.H.M. Steenbrink, Mixed Hodge structures associated with isolated singularities. Proc. Symp. Pure Math. 40 Part 2 (1983), 513-536. Zbl0515.14003MR713277

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