Résumé
Dans sa preuve [2] du fait que la notion de cycle de Hodge sur une variété abélienne complexe est absolue (invariante par automorphisme de ℂ), P. Deligne s’appuie sur deux principes:
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(A)
les cycles invariants sous le groupe qui fixe les cycles de Hodge absolus sont tous de Hodge absolus,
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(B)
la notion de cycle de Hodge absolu est invariante par déformation plate.
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Bibliographie
S. Bloch. — Semi-regularity and de Rham cohomology, Inv. Math. 17, (1972), 51–66.
P. Deligne. — Hodge cycles on abelian varieties, notes by J. Milne, Springer Lecture Notes 900, 1982.
S. Lang. — Complex multiplication, Springer Verlag, 1983.
K. Ribet. — Hodge classes on certain types of abelian varieties, Proceedings of a conference in honor of A. Weil.
N. Schappacher. — Periods of Hecke characters, Springer Lecture Notes 1301, 1988.
W. Sci-i. nu u. — Quadratic and hermitian forms, Springer Verlag, 1985.
C. Schoen. — Hodge classes on self-products of a variety with an automorphism, Comp. Math. 63, (1988), 3–32.
G. Shimura. — Automorphic forms and the periods of abelian varieties, J. Math. Soc. Japan 31, (1979), 561–592.
A. Weil. — 1977 c. in Œuvres Scientifiques, Springer Verlag, (3 volumes), 1980.
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André, Y. (1992). Une remarque à propos des cycles de Hodge de type C M . In: David, S. (eds) Séminaire de Théorie des Nombres, Paris, 1989–90. Progress in Mathematics, vol 102. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-4269-5_1
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