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Geometria delle varietà Kuga-Satake

Giuseppe Lombardo — 2001

Bollettino dell'Unione Matematica Italiana

Hodge Classes and Abelian Varieties of Quaternionic Type

Giuseppe Lombardo — 2006

Bollettino dell'Unione Matematica Italiana

We obtain coniugacy classes (with respect to a $\mathfrak{s}l_{2}$ action) in the space of Hodge cycles in the middle cohomology of an Abelian variety of quaternionic type. The existence of such a class simplifies the study of the Hodge conjecture.

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