Abelian varieties attached to primitive forms

  • Takayuki Oda
Part of the Progress in Mathematics book series (PM, volume 19)


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 [40], Kuga-Satake [20], and Deligne [10], 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.


Abelian Variety Canonical Basis Clifford Algebra Endomorphism Ring Hodge Structure 
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Copyright information

© Birkhäuser Boston 1982

Authors and Affiliations

  • Takayuki Oda
    • 1
  1. 1.Department of MathematicsHokkaido UniversitySapporo, 060Japan

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