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Cohomology of compactified moduli varieties of \(F\)-sheaves of rank 2. (English. Russian original) Zbl 0672.14008
J. Sov. Math. 46, No. 2, 1789-1821 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 162, 107-158 (1987).
See the review in Zbl 0654.14008.

MSC:
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
11R39 Langlands-Weil conjectures, nonabelian class field theory
11F70 Representation-theoretic methods; automorphic representations over local and global fields
11F11 Holomorphic modular forms of integral weight
14G25 Global ground fields in algebraic geometry
14D20 Algebraic moduli problems, moduli of vector bundles
14L05 Formal groups, \(p\)-divisible groups
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References:
[1] A. Weyl, Basic Number Theory [Russian translation], Moscow (1972).
[2] I. M. Gel’fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Theory of Representations and Automorphic Functions [in Russian], Moscow (1986).
[3] V. G. Drinfel’d, ?Elliptic modules,? Mat. Sb.,94, No. 4, 594?627 (1974).
[4] V. G. Drinfel’d, ?Elliptic modules. II,? Mat. Sb.,102, No. 2, 182?194 (1977).
[5] V. G. Drinfel’d, ?Proof of the global Langlands conjecture for GL(2) over a function field,? Funkts. Anal. Prilozhen.,11, No. 3, 74?75 (1977). · Zbl 0372.73084 · doi:10.1007/BF01135545
[6] V. G. Drinfel’d, ?Two-dimensional 1-adic representations of the Galois group of a global field of characteristic ? and automorphic forms on GL(2),? J. Sov. Math.,36, No. 1 (1987).
[7] V. G. Drinfel’d, ?Manifolds of modules of ? -sheaves,? Funkts. Anal. Prilozhen.,21, No. 2, 23?41 (1987).
[8] V. G. Drinfel’d ?Proof of Petersson’s conjecture for GL(2) over a global field of characteristic?,? Funkts. Anal. Prilozhen.,22, No. 1, 34?54 (1988).
[9] M. Artin, ?Versal deformations and algebraic stacks,? Invent. Mat.,27, 165?189 (1974). · Zbl 0317.14001 · doi:10.1007/BF01390174
[10] P. Deligne, ?Les constantes des equations fonctionnelles des fonctions L,? Lect. Notes Math.,349, 501?595. · Zbl 0271.14011
[11] V. G. Drinfeld, ?Langlands conjecture for GL(2) over functional fields,? in: Proc. Intern. Congress of Mathematicians (Helsinki, 1978), Part 2, Helsinki (1980), pp. 565?574.
[12] G. Harder and D. A. Kazhdan, ?Automorphic forms on GL(2) over function fields,? in: Proc. Symposia in Pure Math., Vol. 33, part 2 (1979), pp. 357?379. · Zbl 0442.12011 · doi:10.1090/pspum/033.2/546624
[13] G. Horrocks, ?Vector bundles on the punctured spectrum of a local ring,? Proc. London Math. Soc.,14, No. 56, 689?713 (1964). · Zbl 0126.16801 · doi:10.1112/plms/s3-14.4.689
[14] D. A. Kazhdan, ?An introduction to Drinfeld’s ?Shtuka,? in: Proc. Symposia in Pure Math., Vol. 33, Part 2 (1979), pp. 347?356. · Zbl 0411.12007 · doi:10.1090/pspum/033.2/546623
[15] G. Laumon, ?Sur les constantes des equations fonctionnelles pour les fonctions L associees aux representations 1-adiques (en egale caracteristique). I,? Preprint IHES/M/83/79, Bures-sur-Yvette, 1983.
[16] G. Laumon, ?Sur les constantes des equations fonctionnelles pour les fonctions L associees aux representations 1-adiques (en egale caracteristique). II,? Preprint IHES/M/84/13, Bures-sur-Yvette, 1984.
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