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Results tagged with hodge-theory
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user 6153
The study of harmonic differential forms on complex projective varieties, their invariantly defined filtrations, their integrals over topological cycles, especially over subvarieties, the deformations of these integrals and filtrations in families, and a multitude of generalizations.
5
votes
Where can we find Deligne's paper " Theorie de Hodge I"?
It is in the conference volume of the 1970 ICM at Nice. Not so easy to find online, it seems, if that is what you meant. There is a summary in a review:
http://www.ams.org/journals/bull/2009-46-04/S0 …
- 12.6k
27
votes
Why is the Hodge Conjecture so important?
Here are three points, and you'd have to care about at least one of them, I think.
(1) A (co)homology class is better understood if it is represented geometrically in some way.
This point really bel …
- 12.6k
3
votes
Heuristics for the Hodge Conjecture
Edited: One point is that Hodge's original version of the conjecture was wrong, and in a couple of ways. You do need rational coefficients (integral is too much to ask for, see ref below). Also a mor …
- 12.6k