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57 votes

Clausen's modified Hodge Conjecture

It's a bit of a long story, but I can at least give the idea. Let $X$ be a smooth projective variety over $\mathbb{C}$. The Hodge conjecture says that for all $p\geq 0$, the cycle class map $$Ch^p(X)...
Dustin Clausen's user avatar
2 votes

Triangulated structure on complexes of mixed Hodge structures

I haven't looked at Peters' notes, so I don't have any comments about what he does. But I agree that the mapping cone is tricky as usual. You would need lifts of $(f,f_{\mathbb{C}})$ to the (bi)...
Donu Arapura's user avatar
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