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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.

6 votes
3 answers
3k views

Where can we find Deligne's paper " Theorie de Hodge I"?

Where can we find Deligne's paper " Theorie de Hodge I"?
2 votes
1 answer
773 views

Abelian varieties of CM type?

Is there any introduction to abelian varieties of CM type?any reference?Like how to construct a abelian varieties given a CM field E?What is the properites of the Mumford Tate group of the abelian var …