Faisceaux pervers, transformation de Mellin et déterminants

François Loeser

Mémoires de la Société Mathématique de France (1996)

  • Volume: 66, page 1-105
  • ISSN: 0249-633X

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Loeser, François. "Faisceaux pervers, transformation de Mellin et déterminants." Mémoires de la Société Mathématique de France 66 (1996): 1-105. <http://eudml.org/doc/94918>.

@article{Loeser1996,
author = {Loeser, François},
journal = {Mémoires de la Société Mathématique de France},
keywords = {determinants; -adic perverse sheaves; Mellin transformation},
language = {fre},
pages = {1-105},
publisher = {Société mathématique de France},
title = {Faisceaux pervers, transformation de Mellin et déterminants},
url = {http://eudml.org/doc/94918},
volume = {66},
year = {1996},
}

TY - JOUR
AU - Loeser, François
TI - Faisceaux pervers, transformation de Mellin et déterminants
JO - Mémoires de la Société Mathématique de France
PY - 1996
PB - Société mathématique de France
VL - 66
SP - 1
EP - 105
LA - fre
KW - determinants; -adic perverse sheaves; Mellin transformation
UR - http://eudml.org/doc/94918
ER -

References

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  1. [A] G. ANDERSON. The hyperadelic gamma function, Inventiones Mathematicae 95 (1989), 63-131. Zbl0682.14011MR89j:11118
  2. [B-B-D] A. BEILINSON, J. BERNSTEIN et P. DELIGNE. Faisceaux pervers, in Analyse et topologie sur les espaces singuliers, p. 7-172, Astérisque n° 100, 1982. Zbl0536.14011MR86g:32015
  3. [Bo] A. BOREL. Algebraic D-modules, Perspectives in Math. n° 2, Academic Press, Boston, 1987. Zbl0642.32001MR89g:32014
  4. [Cl] A. H. CLIFFORD. Representations induced in an invariant sub-group, Ann. Math. 38 (1937), 533-550. Zbl0017.29705JFM63.0076.04
  5. [Co1] R. COLEMAN. A formal analogue of Hilbert's theorem 90, Proceedings of the American Mathematical Society 94 (1985), 603-604. Zbl0568.12012MR86k:12013
  6. [Co2] R. COLEMAN. Anderson-Ihara Theory : Gauss Sums and Circular Units, Advanced Studies in Pure Mathematics 17 (1989), 55-72. Zbl0733.14012MR92f:11159
  7. [C-R] C. W. CURTIS et I. REINER. Methods of representation theory I, Wiley, New York, 1981. Zbl0469.20001MR82i:20001
  8. [D1] P. DELIGNE. Les constantes des équations fonctionnelles des fonctions L, in Modular Functions of One Variable II, p. 55-106, Springer Lect. Notes in Math. n° 349, 1973. Zbl0271.14011
  9. [D2] P. DELIGNE. Le groupe fondamental de la droite projective moins trois points, in Galois groups over Q, p. 79-298, Publ. MSRI n° 16, Springer Verlag, 1989. Zbl0742.14022MR90m:14016
  10. [Dw-L] B. DWORK et F. LOESER. Hypergeometric series and functions as periods of exponential modules, in Barsotti Symposium in Algebraic Geometry, p. 153-174, Perspectives in Mathematics, Academic Press, 1994. Zbl0820.33008MR96c:33021
  11. [E] T. EKEDAHL. On the adic formalism, in The Grothendieck Festschrift vol. II, p. 197-218, Progress in Math. n° 87, Birkhäuser, 1990. Zbl0821.14010MR92b:14010
  12. [G-L] O. GABBER et F. LOESER. Faisceaux pervers l-adiques sur un tore, Duke Math. J. 83 (1996), 501-606. Zbl0896.14009MR97i:14016
  13. [I1] Y. IHARA. Profinite braid groups, Galois representations and complex multiplications, Ann. Math. 123 (1987), 43-106. Zbl0595.12003MR87c:11055
  14. [I2] Y. IHARA. On Galois representations arising from towers of coverings on P1{0, 1, ∞, Inventiones Mathematicae 86 (1986), 427-459. Zbl0585.14020MR87i:11076
  15. [I3] Y. IHARA. Braids, Galois groups, and some arithmetic functions, Proceedings of the ICM, Kyoto 1 (1991), 99-120. Zbl0757.20007MR95c:11073
  16. [I-K-Y] Y. IHARA, M. KANEKO et A. YUKINARI. On some properties of the universal power series for Jacobi sums, Advanced Studies in Pure Mathematics 12 (1987), 65-86. Zbl0642.12012MR90d:11122
  17. [Il] L. ILLUSIE. Autour du théorème de monodromie locale, in Périodes p-adiques, p. 9-57, Astérisque n° 223, 1994. Zbl0837.14013MR95k:14032
  18. [K] N. KATZ. Exponential sums and differential equations, Annals of Math. Studies n° 124, Princenton University Press, 1990. Zbl0731.14008MR93a:14009
  19. [Kn-M] F. KNUDSEN et D. MUMFORD. The projectivity of the moduli space of stable curves. I : Preliminaries on 'det' and 'Div', Math. Scand. 39 (1976), 19-55. Zbl0343.14008MR55 #10465
  20. [La1] G. LAUMON. Semi-continuité du conducteur de Swan (d'après P. Deligne), in Caractéristique d'Euler-Poincaré, p. 173-219, Astérisque n° 82-83, 1981. Zbl0504.14013MR83g:14007
  21. [La2] G. LAUMON. Transformation de Fourier, Constantes d'équations fonctionnelles et Conjecture de Weil, Publ. Math. I.H.E.S. 65 (1987), 131-210. Zbl0641.14009MR88g:14019
  22. [L-S1] F. LOESER et C. SABBAH. Équations aux différences finies et déterminants de fonctions multiformes, Comment. Math. Helvetici 66 (1991), 458-503. Zbl0760.39001MR93a:32057
  23. [L-S2] F. LOESER et C. SABBAH. Caractérisation des D-modules hypergéométriques sur le tore II, C. R. Acad. Sc. Paris 315 (1992), 1263-1264. Zbl0774.14017MR94f:13016
  24. [S] C. SABBAH. Lieu des pôles d'un système d'équations aux différences finies, Bull. Soc. mat. France 120 (1992), 371-396. Zbl0766.32011MR94e:39006
  25. [Sa] T. SAITO. Jacobi sum Hecke characters, de Rham discriminant, and the determinant of l-adic cohomologies, Journal of Algebraic Geometry 3 (1994), 411-434. Zbl0833.14011MR95f:14036
  26. [Se] J.-P. SERRE. Représentations linéaires des groupes finis, Hermann, Paris, 1967. Zbl0407.20003MR38 #1190

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