Duke Mathematical Journal

The trace formula and Drinfeld’s upper halfplane

Gerd Faltings
Source: Duke Math. J. Volume 76, Number 2 (1994), 467-481.
First Page: Show Hide
Primary Subjects: 11S37
Secondary Subjects: 11F85, 14F20
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286971
Mathematical Reviews number (MathSciNet): MR1302321
Zentralblatt MATH identifier: 0855.11061
Digital Object Identifier: doi:10.1215/S0012-7094-94-07616-3

References

[B1] V. G. Berkovich, Étale cohomology for non-Archimedean analytic spaces, Inst. Hautes Études Sci. Publ. Math. (1993), no. 78, 5–161 (1994).
Mathematical Reviews (MathSciNet): MR95c:14017
Zentralblatt MATH: 0804.32019
Digital Object Identifier: doi:10.1007/BF02712916
[B2] V. Berkovich, Vanishing cycles for formal schemes, Invent. Math. 115 (1994), no. 3, 539–571.
Mathematical Reviews (MathSciNet): MR95f:14034
Zentralblatt MATH: 0791.14008
Digital Object Identifier: doi:10.1007/BF01231772
[BDKV] J. Bernstein, P. Deligne, K. Kazhdan, and M. F. Vigneras, Représentations des Groupes Réductifs sur un Corps Local, Hermann, Paris, 1984.
Zentralblatt MATH: 0544.00007
Mathematical Reviews (MathSciNet): MR771671
[C1] H. Carayol, Nonabelian Lubin-Tate theory, Automorphic forms, Shimura varieties, and $L$-functions, Vol. II (Ann Arbor, MI, 1988), Perspect. Math., vol. 11, Academic Press, Boston, MA, 1990, pp. 15–39.
Mathematical Reviews (MathSciNet): MR91i:11169
Zentralblatt MATH: 0704.11049
[C2] P. Cartier, Sur les Représentations des Groupes Réductifs $p$-adiques et leur Characteres, Lecture Notes in Math., vol. 569, Springer, Berlin.
Mathematical Reviews (MathSciNet): MR463365
[De] P. Deligne, Séminaire de Géometrie Algébrique du Bois-Marie SGA $4 1/2$, Lecture Notes in Math., vol. 569, Springer-Verlag, Berlin, 1977.
Mathematical Reviews (MathSciNet): MR57:3132
Zentralblatt MATH: 0345.00010
[Dr] V. Drinfeld, Coverings of $p$-adic symmetric domains, Functional Anal. Appl. 10 (1976), 107–115.
Zentralblatt MATH: 0346.14010
Mathematical Reviews (MathSciNet): MR422290
[E] R. Elkik, Solutions d'équations à coefficients dans un anneau hensélien, Ann. Sci. École Norm. Sup. (4) 6 (1973), 553–603 (1974).
Mathematical Reviews (MathSciNet): MR49:10692
Zentralblatt MATH: 0327.14001
[Fa] G. Faltings, Crystalline cohomology of semistable curves—the $\mathbbQ_p$-theory, submitted to J. Algebraic Geom.
[Fu] K. Fujiwara, Rigid geometry, Lefschetz-Verdier trace formula, and Deligne's conjecture, manuscript, 1992.
[G] A. Genestier, Ramification du Revetement de Drinfeld, thesis, Paris-Orsay, 1993.
[L] W. Lütkebohmert, Riemann's existence problem for a $p$-adic field, Invent. Math. 111 (1993), no. 2, 309–330.
Mathematical Reviews (MathSciNet): MR94d:32048
Zentralblatt MATH: 0780.32005
Digital Object Identifier: doi:10.1007/BF01231290
[SS] P. Schneider and U. Stuhler, The cohomology of $p$-adic symmetric spaces, Invent. Math. 105 (1991), no. 1, 47–122.
Mathematical Reviews (MathSciNet): MR92k:11057
Zentralblatt MATH: 0751.14016
Digital Object Identifier: doi:10.1007/BF01232257
[SGA5] P. Schneider and U. Stuhler, Cohomologie $\ell$-adique et Fonctions $L$, Lecture Notes in Math., vol. 589, Seminaire de Geometrie Algebrique 5, Berlin, 1991.

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