Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton

Antoine Douai

Compositio Mathematica (1993)

  • Volume: 87, Issue: 3, page 311-355
  • ISSN: 0010-437X

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Douai, Antoine. "Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton." Compositio Mathematica 87.3 (1993): 311-355. <http://eudml.org/doc/90237>.

@article{Douai1993,
author = {Douai, Antoine},
journal = {Compositio Mathematica},
keywords = {monodromy; Newton polyhedron},
language = {fre},
number = {3},
pages = {311-355},
publisher = {Kluwer Academic Publishers},
title = {Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton},
url = {http://eudml.org/doc/90237},
volume = {87},
year = {1993},
}

TY - JOUR
AU - Douai, Antoine
TI - Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 87
IS - 3
SP - 311
EP - 355
LA - fre
KW - monodromy; Newton polyhedron
UR - http://eudml.org/doc/90237
ER -

References

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  1. [A] K. Aomoto: Les équations aux différences finies et les intégrales de fonctions multiformes, J. Fac. Sci. Tokyo22 (1975), 271-297 et 26 (1979), 519-523. Zbl0425.35022
  2. [B] J. Bernstein: The analytic continuation of generalized functions with respect to a parameter, Funct. An. and Appl.6 (1972), 273-285. Zbl0282.46038MR320735
  3. [B-G-M-M] J. Briançon, M. Granger, Ph. Maisonobe and M. Miniconi: Algorithme de calcul du polynôme de Bernstein, Ann. Inst. Fourier3 (1989), 553-609. Zbl0675.32008
  4. [Br] S.A. Broughton: Milnor numbers and the topology of polynomial hypersurfaces, Inv. Math.92 (1988), 217-241. Zbl0658.32005MR936081
  5. [D] P. Deligne: Equations différentielles à points singuliers réguliers, Lect. Notes in Math. vol. 163, Springer-Verlag, 1970. Zbl0244.14004MR417174
  6. [E] E. Ehrhart: Demonstration de la loi de réciprocité, C.R. Acad. Sci. Paris265 (1967), 5-7. Zbl0147.30701MR245520
  7. [K] A.G. Kouchnirenko: Polyèdres de Newton et nombres de Milnor, Inv. Math.32 (1976), 1-31. Zbl0328.32007MR419433
  8. [K-V] A. Khovanskii and A. Varchenko: Asymptotics of integrals over vanishing cycles and the Newton polyhedron, Sov. Math. Dokl.32 (1985), 122-127. Zbl0595.32012
  9. [L-S] F. Loeser and C. Sabbah: Equations aux différences finies et déterminants d'intégrales de fonctions multiformes, Comm. Math. Helvetici66 (1991), 458-503. Zbl0760.39001MR1120656
  10. [Sa] M. Saito: On the structure of Brieskorn lattice, Ann. Inst. Fourier39 (1989), 27-72. Zbl0644.32005MR1011977
  11. [St] J.H.M. Steenbrink: Mixed Hodge structures on the vanishing cohomology, Proc. Nordic summer school on real and complex singularities, Oslo (1976). Zbl0373.14007MR485870
  12. [V] A. Varchenko: Valeurs critiques et déterminants de périodes (en russe), Uspekhi Math. Nauk44 (1989), 235-236. Zbl0716.32024
  13. [VI] A. Varchenko: Zeta function of monodromy and Newton's diagrams, Inv. Math.37 (1976), 253-262. Zbl0333.14007MR424806

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