Mathematics – Algebraic Geometry
Scientific paper
2008-05-11
Mathematics
Algebraic Geometry
Scientific paper
We show that the algebraic group SL(2) acts on any polarized abelian variety
A through correspondences. As a consequence we recover the action of SL(2) on
the Chow group CH(A) (with rational coefficients), and this gives rise to
Lefschetz type properties for algebraic cycles on A .
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