Polarizations and Grothendieck’s Standard Conjectures
نویسنده
چکیده
We prove that Grothendieck’s Hodge standard conjecture holds for abelian varieties in all characteristics if the Hodge conjecture holds for complex abelian varieties of CM-type, and that it holds for all smooth projective varieties if, in addition, the Tate conjecture holds for smooth projective varieties over finite fields.
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تاریخ انتشار 2001