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Some remarks about the Hodge conjecture. (English) Zbl 0629.14004
Hodge theory, Proc. U.S.-Spain Workshop, Sant Cugat/Spain 1985, Lect. Notes Math. 1246, 165-175 (1987).
[For the entire collection see Zbl 0604.00004.]
The author explains Grothendieck’s formulation of the Hodge conjecture and sketches a proof of Grothendieck’s inductive argument. He then proves a “semiregularity” theorem which is related to a conjecture of Grothendieck, weaker than the Hodge (p,p) conjecture.
Reviewer: A.Papantonopoulou

MSC:
14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)