Mathematics – Algebraic Geometry
Scientific paper
2001-03-27
Ann. of Math. (2), Vol. 155 (2002), no. 2, 599--610
Mathematics
Algebraic Geometry
12 pages published version
Scientific paper
We prove that Grothendieck's Hodge standard conjecture holds for abelian
varieties in arbitrary characteristic if the Hodge conjecture holds for complex
abelian varieties of CM-type. For abelian varieties with no exotic algebraic
classes, we prove the Hodge standard conjecture unconditionally.
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