On the cohomology of a general fiber of a polynomial map

Alexandru Dimca; Morihiko Saito

Compositio Mathematica (1993)

  • Volume: 85, Issue: 3, page 299-309
  • ISSN: 0010-437X

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Dimca, Alexandru, and Saito, Morihiko. "On the cohomology of a general fiber of a polynomial map." Compositio Mathematica 85.3 (1993): 299-309. <http://eudml.org/doc/90201>.

@article{Dimca1993,
author = {Dimca, Alexandru, Saito, Morihiko},
journal = {Compositio Mathematica},
keywords = {de Rham cohomology; -modules; algebraic differential forms; Gauss-Manin systems},
language = {eng},
number = {3},
pages = {299-309},
publisher = {Kluwer Academic Publishers},
title = {On the cohomology of a general fiber of a polynomial map},
url = {http://eudml.org/doc/90201},
volume = {85},
year = {1993},
}

TY - JOUR
AU - Dimca, Alexandru
AU - Saito, Morihiko
TI - On the cohomology of a general fiber of a polynomial map
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 85
IS - 3
SP - 299
EP - 309
LA - eng
KW - de Rham cohomology; -modules; algebraic differential forms; Gauss-Manin systems
UR - http://eudml.org/doc/90201
ER -

References

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  1. [1] Borel, A.: Algebraic D-Modules, Academic Press, Boston, 1987. Zbl0642.32001MR882000
  2. [2] Deligne, P.: Equation différentielle à points singuliers réguliers, Lecture Notes in Math.163, Springer-Verlag, Berlin, 1970. Zbl0244.14004MR417174
  3. [3] Dimca, A.: On the Milnor fibration of weighted homogeneous polynomials, Compositio Math.76 (1990), 19-47. Zbl0726.14002MR1078856
  4. [4] Grothendieck, A.: On the de Rham cohomology of algebraic varieties, Publ. Math. IHES29 (1966), 95-103. Zbl0145.17602MR199194
  5. [5] Grothendieck, A. and Dieudonné, J.: Eléments de géométrie algébrique IV, Publ. Math. IHES32 (1967). Zbl0153.22301
  6. [6] Kashiwara, M.: B-function and holonomic systems,Inv. Math.38 (1976), 33-53. Zbl0354.35082MR430304
  7. [7] Pham, F.: Singularité des systèmes differéntiels de Gauss-Manin, Progress in Math.2,, Birkhäuser, 1979. Zbl0524.32015MR553954
  8. [8] Saito, M.: On the structure of Brieskorn lattice, Ann. Institut Fourier39 (1989), 27-72. Zbl0644.32005MR1011977
  9. [9] Saito, M.: Induced D-modules and differential complexes, Bull. Soc. Math. France117 (1989), 361-387. Zbl0705.32005MR1020112
  10. [10] Sato, M., Kawai, T. and Kashiwara, M.: Microfunctions and pseudodifferential equations, in Lecture Notes in Math. vol. 287, Springer, Berlin (1973), 264-529. Zbl0277.46039MR420735

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