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A note on height pairings on polarized abelian varieties. (English) Zbl 1016.14025
Summary: Let \(A\) be an abelian variety defined over a number field \(k\). In this short note we give a characterization of the endomorphisms that preserve the height pairing associated to a polarization. We also give a functorial interpretation of this result.

MSC:
14K05 Algebraic theory of abelian varieties
14G40 Arithmetic varieties and schemes; Arakelov theory; heights
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