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Showing papers on "Toric variety published in 1974"


Journal ArticleDOI
TL;DR: In this paper, the authors associate a certain algebra of finite rank over Q to each non-singular polarized algebraic variety defined over C. For a surface the algebra is a Jordan algebra with identity, and for an abelian variety A, it is canonically isomorphic to the Jordan algebra of symmetric elements in End Q (A) with respect to the polarization.
Abstract: In the present note we associate a certain algebra of finite rank over Q to each non-singular polarized algebraic variety defined over C . For a surface the algebra is a Jordan algebra with identity, and for an abelian variety A the algebra is canonically isomorphic to the Jordan algebra of symmetric elements in End Q (A) with respect to the involution induced by the polarization. This algebra may be important for a polarized algebraic variety as much as End Q (A) for an abelian variety A .

1 citations