Arrangements d'hyperplans et sommes de Gauss

François Loeser

Annales scientifiques de l'École Normale Supérieure (1991)

  • Volume: 24, Issue: 4, page 379-400
  • ISSN: 0012-9593

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Loeser, François. "Arrangements d'hyperplans et sommes de Gauss." Annales scientifiques de l'École Normale Supérieure 24.4 (1991): 379-400. <http://eudml.org/doc/82301>.

@article{Loeser1991,
author = {Loeser, François},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Gauss sums; Jacobi sums; arrangements of hyperplanes; geometric Frobenius},
language = {fre},
number = {4},
pages = {379-400},
publisher = {Elsevier},
title = {Arrangements d'hyperplans et sommes de Gauss},
url = {http://eudml.org/doc/82301},
volume = {24},
year = {1991},
}

TY - JOUR
AU - Loeser, François
TI - Arrangements d'hyperplans et sommes de Gauss
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1991
PB - Elsevier
VL - 24
IS - 4
SP - 379
EP - 400
LA - fre
KW - Gauss sums; Jacobi sums; arrangements of hyperplanes; geometric Frobenius
UR - http://eudml.org/doc/82301
ER -

References

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  1. [L] G. LAUMON, Transformation de Fourier, constantes d'équations fonctionnelles et conjecture de Weil (Publ. Math. I.H.E.S., vol. 65, 1987, p. 131-210). Zbl0641.14009MR88g:14019
  2. [O] P. ORLIK, Introduction to Arrangements (C.B.M.S. Regional Conference Series, vol. 72, 1989). Zbl0722.51003MR90i:32018
  3. [O-S] P. ORLIK et L. SOLOMON, Combinatorics and Topology of Complements of Hyperplanes (Invent. Math., vol. 56, 1980, p. 169-189). Zbl0432.14016MR81e:32015
  4. [R-Z] M. RAPOPORT et T. ZINK, Über die lokale Zetafunction von Shimuravarietäten. Monodromiefiltration und verschwindente Zyklen in ungleicher Charakteristik (Invent. Math., vol. 68, 1982, p. 21-101). Zbl0498.14010MR84i:14016
  5. [V] A. N. VARCHENKO, Beta function of Euler, Vandermond determinant, Legendre equation and critical values of linear functions on configurations of hyperplanes, (Izvestia Akad. Nauk. SSSR vol. 53 (1989), p. 1206-1235 et vol. 54 (1990), p. 146-158). Zbl0699.33004
  6. [SGA] Séminaire de Géométrie Algébrique, (4), (7), parties I et II [Springer Lect. Notes Math. nos 269-270-305 (4), 288 (7), partie I, 340 (7), partie II]. 

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