David Madore's WebLog: A counterexample to the Hodge conjecture?

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(Sunday)

A counterexample to the Hodge conjecture?

I can't tell from a superficial inspection whether this is correct (such spectacular claims require a great deal of prudence, although superficially it seems to make sense, and the authors obviously aren't crackpots); but if it is, (a) its authors might be eligible for a $1000000 prize and (b) a number of people I know will be quite disappointed.

Update: The authors just posted a revised version of the article, with the following comment: We no longer claim to have disproved the Hodge conjecture. Section 5 is deleted except for 5.3, and Theorems 6.2,6.3 are deleted.

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