Geodesic
Generalized Siegel Modular Forms and Cohomology of Locally Symmetric Varieties
Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 72-80

Voir la notice de l'article provenant de la source Cambridge University Press

We generalize Siegel modular forms and construct an exact sequence for the cohomology of locally symmetric varieties which plays the role of the Eichler-Shimura isomorphism for such generalized Siegel modular forms.
DOI : 10.4153/CMB-1997-009-6
Mots-clés : Primary: 11F46, Secondary: 11F75, 22E40 
Lee, Min Ho. Generalized Siegel Modular Forms and Cohomology of Locally Symmetric Varieties. Canadian mathematical bulletin, Tome 40 (1997) no. 1, pp. 72-80. doi: 10.4153/CMB-1997-009-6
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[1] 1. Bayer, P. and Neukirch, J., On automorphic forms and Hodge theory, Math. Ann. 257 (1981), 137–155. Google Scholar

[2] 2. Baily, W. and Borel, A., Compactification of arithmetic quotients of bounded symmetric domains, Ann. Math. 84 (1966), 442–528. Google Scholar

[3] 3. Hartshorne, R., Algebraic geometry, Springer-Verlag, New York, 1977. Google Scholar

[4] 4. Kuga, M., Fiber varieties over a symmetric space whose fibers are abelian varieties I, II, Lect. Notes, Univ. Chicago, 1963/64. Google Scholar

[5] 5. Lee, M. H., Mixed cusp forms and holomorphic forms on elliptic varieties, Pacific J. Math. 132 (1988), 363–370. Google Scholar

[6] 6. Lee, M. H., Conjugates of equivariant holomorphic maps of symmetric domains, Pacific J. Math. 149 (1991), 127–144. Google Scholar

[7] 7. Lee, M. H., Mixed cusp forms and Poincaré series, RockyMountain J. Math. 23 (1993), 1009–1022. Google Scholar

[8] 8. Lee, M. H., Mixed automorphic forms and Hodge structures, Panamer.Math. J. (2) 4 (1994), 89–113. Google Scholar

[9] 9. Lee, M. H., Mixed Siegel modular forms and Kuga fiber varieties, Illinois J. Math. 38 (1994), 692–700. Google Scholar

[10] 10. Lee, M. H. , Mixed automorphic vector bundles on Shimura varieties, Pacific J. Math. 173 (1996), 105–126. Google Scholar

[11] 11. Nenashev, A., Siegel modular forms and cohomology, Math. USSR Izvestiya 29 (1987), 559–586. Google Scholar

[12] 12. Satake, I., Algebraic structures of symmetric domains, Princeton Univ. Press, Princeton, 1980. Google Scholar

[13] 13. Wells, R., Jr., Differential analysis on complex manifolds, Springer-Verlag, New York, 1980. Google Scholar

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