Abelian varieties attached to primitive forms
Starting with a datum of Hodge structure given in Section 3.7, in this section we construct an abelian variety. The method of this construction is a slight generalization of that of Satake , Kuga-Satake , and Deligne , More precisely speaking, we consider the case where the given Hodge structure has a totally real algebraic number field as an endomorphism ring, in place of the trivial one Q.
KeywordsAbelian Variety Canonical Basis Clifford Algebra Endomorphism Ring Hodge Structure
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