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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Journal of the American Mathematical Society
( Vol. 5 NO.2 / (1992))
Points on some Shimura Varieties over Finite Fields

Pages. 373-444
Abstract 1. Involutions on semisimple algebras 2. Positive involutions 3. Semisimple categories 4. Hermitian symmetric spaces of PEL type 5. Moduli spaces of PEL type 6. Hecke correspondences and $\lambda$-adic Sheaves 7. Structure of the groups $G$ and $G_1$ 8. Complex points of moduli spaces of PEL type 9. $R$-isogenies, symmetrizations, and polarizations 10. Virtual abelian varieties over finite fields 11. Semisimple isocrystals over $L_r$ 12. Equality of two functorial isomorphisms from $X_\ast(T)_\Gamma$ to $B(T)$ 13. Polarized abelian varieties with CM 14. Construction of $(\gamma_0:\gamma,\delta)$ form $(A,\lambda,i)$ 15. Vanishing of $\alpha(\gamma_o;\gamma,\delta)$ 16. counting fixed points of $\Phi^j_{\mathfark p} \circ f$ within a single isogeny class 17. $\Bbb Q$-isogeny classes within a $\Bbb Q$-isogeny class 18. Image of the map $(A,\lambda,i)$\mapsto(\gamma_0:\gamma,\delta)\$ 19. total number of fixed points 11G18