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On thel-adic cohomology of Siegel threefolds

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References

  1. Brylinski, J.L., Labesse, J.P.: Cohomologie d'Intersection et Fonctions L de certaines Variétés de Shimura. Ann. Sci. Éc. Norm. Supér.17, 361–412 (1984)

    Google Scholar 

  2. Blasius, D.: Stability at Infinity for Certain L-packets (in preparation)

  3. Blasius, D., Ramakrishnan, D.: Maass Forms and Galois Representations. In: Ihara, Y., Ribet, K., Serre J.-P., (eds.) Galois Groups over ℚ. (Publ., Math. Sci. Res. Inst., vol. 16, pp. 33–77) Berlin Heidelberg New York: Springer 1989)

    Google Scholar 

  4. Blasius, D., Rogawski, J.: Zeta Functions of Shimura Varieties. (Preprint)

  5. Carayol, H.: Sur les Represéntations l-adiques Associées aux Formes Modulaires de Hilbert. Ann. Sci. Éc. Norm. Supér.19, 409–468 (1986)

    Google Scholar 

  6. Clozel, L.: Representations Galoisiennes Associées aux Représentations Automorphes Autoduales de GL (n). Publ. Math., Inst. Hamtes Étud. Sci.73 (1991)

  7. Deligne, P.: Letter to Serre, dated 24 June 1968

  8. Faltings, G.: p-adic Hodge Theory. J. Am. Math. Soc.1, 255–299 (1988)

    Google Scholar 

  9. Faltings, G., Chai, C.-L.: Degeneration of Abelian Varieties. (Ergeb. Math. Grenzgeb. Heidelberg New York 22) Berlin Springer 1990

    Google Scholar 

  10. Harris, M.: Automorphic Forms and the Cohomology of Vector Bundles on Shimura Varieties. In: Clozel, L., Milne, J., Automorphic Forms, Shimura Varieties andL-Functions, Vol. II. Boston: Academic Press 1990

    Google Scholar 

  11. Kottwitz, R.: Tamagawa Numbers. Ann. Math.127, 629–646 (1988)

    Google Scholar 

  12. Kottwitz, R.: On λ-adic Representations Associated to some Simple Shimura Varieties. (Preprint 1989)

  13. Ramakrishnan, D., Langlands, R.P. (eds.) Zeta Functions of Picard Modular Surfaces. (Publ., C.R.M.) (1992)

  14. Sen, S.: Continuous Cohomology and p-adic Galois Representations. Invent. Math.62, 89–116 (1980)

    Google Scholar 

  15. Serre, J.-P.: Abelianl-adic Representations and Elliptic Curves. New York: Benjamin, 1968

    Google Scholar 

  16. Shimura, G.: On Modular Correspondences for Sp (n ℤ) and their Congruence Relations. Proc. Natl. Acad. Sci. USA49 824–828 (1963)

    Google Scholar 

  17. Shimura, G.: An Introduction to the Arithmetic Theory of Automorphic Forms. Publ. Math. Soc. Japan 11, Tokyo-Princeton (1971)

  18. Taylor, R.: Galois Representations Associated to Siegel Modular Forms of Low Weight. Duke Math. J.63, 281–332 (1991)

    Google Scholar 

  19. Vogan, D., Zuckerman, G.: Unitary Representations with Non-Zero Cohomology. Compos. Math.53, 51–91 (1984)

    Google Scholar 

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Oblatum 14-X-1992 & 7-V-1993

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Taylor, R. On thel-adic cohomology of Siegel threefolds. Invent Math 114, 289–310 (1993). https://doi.org/10.1007/BF01232672

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