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Weighted, GIT and Néron--Tate heights on genus-two moduli and Jacobians
We compare three heights attached to a curve of genus two: the weighted height of its Igusa--Clebsch invariants, the GIT height of a binary sextic defining it, and the Néron--Tate height on its Jacobian. For a morphism from an abelian variety to a weighted projective space we define a weighted Néron
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