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Volumn 33, Issue 3, 1997, Pages 393-425

The Mumford-Tate conjecture for Drinfeld-modules

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EID: 21944457563     PISSN: 00345318     EISSN: 16634926     Source Type: Journal    
DOI: 10.2977/prims/1195145322     Document Type: Article
Times cited : (52)

References (35)
  • 1
    • 84972570538 scopus 로고
    • t-Motives
    • Anderson, G., t-Motives, Duke Math. J., 53, 2 (1986), 457-502.
    • (1986) Duke Math. J. , vol.53 , Issue.2 , pp. 457-502
    • Anderson, G.1
  • 3
    • 0001645808 scopus 로고
    • Singular Moduli and Supersingular Moduli of Drinfeld Modules
    • Brown, M. L., Singular Moduli and Supersingular Moduli of Drinfeld Modules, Invent. Math., 110 (1992), 419-439.
    • (1992) Invent. Math. , vol.110 , pp. 419-439
    • Brown, M.L.1
  • 4
    • 0001160126 scopus 로고
    • l-adic and λ-adic representations associated to abelian varieties defined over number fields
    • Chi, W., l-adic and λ-adic representations associated to abelian varieties defined over number fields, Amer. J. Math., 114 (1992), 315-354.
    • (1992) Amer. J. Math. , vol.114 , pp. 315-354
    • Chi, W.1
  • 5
    • 0030078447 scopus 로고    scopus 로고
    • Average Distribution of supersingular Drinfeld Modules
    • David, C., Average Distribution of supersingular Drinfeld Modules, J. Number Theory, 56 (1996), 366-380.
    • (1996) J. Number Theory , vol.56 , pp. 366-380
    • David, C.1
  • 6
    • 0003331570 scopus 로고
    • LNM 569, Berlin etc., Springer
    • Deligne, P., Cohomologie Etale, LNM 569, Berlin etc., Springer 1977.
    • (1977) Cohomologie Etale
    • Deligne, P.1
  • 7
    • 51649161820 scopus 로고
    • La Conjecture de Weil, II
    • _, La Conjecture de Weil, II, Publ. Math. IHES, 52 (1980), 137-252.
    • (1980) Publ. Math. IHES , vol.52 , pp. 137-252
  • 8
    • 0003050218 scopus 로고
    • Hodge Cycles on Abelian Varieties
    • Deligne, P., et al. (Eds.), ch. I, LNM 900, Berlin etc., Springer
    • _, Hodge Cycles on Abelian Varieties, in: Hodge Cycles, Motives, and Shimura Varieties, Deligne, P., et al. (Eds.), ch. I, LNM 900, Berlin etc., Springer (1982), 9-100.
    • (1982) Hodge Cycles, Motives, and Shimura Varieties , pp. 9-100
  • 9
    • 0002404311 scopus 로고
    • Survey of Drinfeld Modules
    • Deligne, P. and Husemoller, D., Survey of Drinfeld Modules, Contemp. Math., 67 (1987), 25-91.
    • (1987) Contemp. Math. , vol.67 , pp. 25-91
    • Deligne, P.1    Husemoller, D.2
  • 10
    • 0000582098 scopus 로고
    • Elliptic Modules
    • Drinfeld, V. G., Elliptic Modules (Russian), Math. Sbornik, 94 (1974), 594-627,
    • (1974) Math. Sbornik , vol.94 , pp. 594-627
    • Drinfeld, V.G.1
  • 11
    • 84957131582 scopus 로고
    • = Math. USSR-Sb., 23 (1974), 561-592.
    • (1974) Math. USSR-Sb. , vol.23 , pp. 561-592
  • 12
    • 0009119330 scopus 로고
    • Elliptic Modules II
    • _, Elliptic Modules II (Russian), Math. Sbornik, 102 (1977), 182-194,
    • (1977) Math. Sbornik , vol.102 , pp. 182-194
  • 13
    • 0002254708 scopus 로고
    • = Math. USSR-Sb., 31 (1977), 159-170.
    • (1977) Math. USSR-Sb. , vol.31 , pp. 159-170
  • 14
    • 0000176592 scopus 로고
    • Semisimple Subalgebras of Semisimple Lie Algebras
    • Dynkin, E.B., Semisimple Subalgebras of Semisimple Lie Algebras, Am. Math. Soc. Transl. Ser. 2, 6 (1957), 111-244.
    • (1957) Am. Math. Soc. Transl. Ser. 2 , vol.6 , pp. 111-244
    • Dynkin, E.B.1
  • 16
    • 0039227440 scopus 로고
    • De Rham Cohomology for Drinfeld Modules
    • Boston etc., Birkhäuser
    • Gekeler, E.-U., De Rham Cohomology for Drinfeld Modules, Sém. Théorie des Nombres, Paris 1988-89, Boston etc., Birkhäuser (1990), 57-85.
    • (1990) Sém. Théorie des Nombres, Paris 1988-89 , pp. 57-85
    • Gekeler, E.-U.1
  • 17
    • 0002889817 scopus 로고
    • L-series of t-motives and Drinfeld Modules
    • The Arithmetic of Function Fields, Goss, D., et al. (Eds.) Berlin, Walter de Gruyter
    • Goss, D., L-series of t-motives and Drinfeld Modules, in: The Arithmetic of Function Fields, Goss, D., et al. (Eds.) Proceedings of the workshop at Ohio State University 1991. Berlin, Walter de Gruyter (1992), 313-402.
    • (1992) Proceedings of the Workshop at Ohio State University 1991 , pp. 313-402
    • Goss, D.1
  • 18
    • 0011572664 scopus 로고
    • Drinfeld Modules: Cohomology and Special Functions
    • Motives, Jannsen, U., et al (Eds.), Proceedings of the summer research conference on motives, Seattle 1991
    • _, Drinfeld Modules: Cohomology and Special Functions, in: Motives, Jannsen, U., et al (Eds.), Proceedings of the summer research conference on motives, Seattle 1991, Proc. Symp. Pure Math., 55 Part 2 (1994), 309-362.
    • (1994) Proc. Symp. Pure Math. , vol.55 , Issue.2 PART , pp. 309-362
  • 20
    • 0001200966 scopus 로고
    • Explicit Class Field Theory in Global Function Fields
    • Studies in Algebra and Number Theory, Academic Press
    • Hayes, D. R., Explicit Class Field Theory in Global Function Fields, in: Studies in Algebra and Number Theory, Adv. Math., Suppl. Stud. 6, Academic Press (1979), 173-217.
    • (1979) Adv. Math., Suppl. Stud. , vol.6 , pp. 173-217
    • Hayes, D.R.1
  • 21
    • 0001889982 scopus 로고
    • A Brief Introduction to Drinfeld Modules
    • The Arithmetic of Function Fields, Goss, D.,et al. (Eds.) Berlin, Walter de Gruyter
    • _, A Brief Introduction to Drinfeld Modules, in: The Arithmetic of Function Fields, Goss, D.,et al. (Eds.) Proceedings of the workshop at Ohio State University 1991. Berlin, Walter de Gruyter (1992), 1-32.
    • (1992) Proceedings of the Workshop at Ohio State University 1991 , pp. 1-32
  • 23
    • 0010992883 scopus 로고
    • Théorèmes de Bertini et Applications
    • Boston etc., Birkhäuser
    • Jouanolou, J.-P., Théorèmes de Bertini et Applications, Progress in Math. 42, Boston etc., Birkhäuser, 1983.
    • (1983) Progress in Math. , vol.42
    • Jouanolou, J.-P.1
  • 24
    • 0003224140 scopus 로고
    • Gauß Sums, Kloosterman Sums, and Monodromy Groups
    • Princeton: Princeton Univ. Press.
    • Katz, N.M., Gauß Sums, Kloosterman Sums, and Monodromy Groups, Ann. of Math. Stud. 116, Princeton: Princeton Univ. Press., 1988.
    • (1988) Ann. of Math. Stud. , vol.116
    • Katz, N.M.1
  • 26
    • 0010210063 scopus 로고
    • Hodge Cycles and Crystalline Cohomology
    • Deligne, P., et al. (Eds.), ch. VI, LNM 900, Berlin etc., Springer
    • Ogus, A., Hodge Cycles and Crystalline Cohomology, in: Hodge Cycles, Motives, and Shimura Varieties, Deligne, P., et al. (Eds.), ch. VI, LNM 900, Berlin etc., Springer (1982), 357-414.
    • (1982) Hodge Cycles, Motives, and Shimura Varieties , pp. 357-414
    • Ogus, A.1
  • 29
    • 0010200670 scopus 로고
    • Groupes Algébriques Associés aux Modules de Hodge-Tate
    • _, Groupes Algébriques Associés aux Modules de Hodge-Tate, Astérisque 65 (1979), 155-188.
    • (1979) Astérisque , vol.65 , pp. 155-188
  • 30
    • 85157097733 scopus 로고    scopus 로고
    • Letter to J. Tate, Jan. 2, 1985
    • _, Letter to J. Tate, Jan. 2, 1985.
  • 31
    • 0002516780 scopus 로고
    • Résumés des cours au Collége de France
    • _, Résumés des cours au Collége de France, Annuaire du Collège de France (1984-85), 85-90.
    • (1984) Annuaire du Collège de France , pp. 85-90
  • 32
    • 0011050710 scopus 로고
    • Résumés des cours au Collège de France
    • _, Résumés des cours au Collège de France, Annuaire du Collège de France (1985-86), 95-99.
    • (1985) Annuaire du Collège de France , pp. 95-99
  • 33
    • 38249000057 scopus 로고
    • Semi-simplicity of the Galois Representations Attached to Drinfeld Modules over Fields of "Infinite Characteristics"
    • Taguchi, Y., Semi-simplicity of the Galois Representations Attached to Drinfeld Modules over Fields of "Infinite Characteristics", J. Number Theory, 44 (1993), 292-314.
    • (1993) J. Number Theory , vol.44 , pp. 292-314
    • Taguchi, Y.1
  • 34
    • 21844511214 scopus 로고
    • The Tate Conjecture for t-Motives
    • _, The Tate Conjecture for t-Motives, Proc. Am. Math. Soc., 123 (1995), 3285-3287.
    • (1995) Proc. Am. Math. Soc. , vol.123 , pp. 3285-3287


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