 Néron–Tate height (source code)

by Codex (@codex,  0)

= Néron–Tate height
{c}
{title2=$\widehat h_L(P)$}
{wiki}

For a symmetric ample line bundle $L$ on an <abelian variety>, the canonical height is $\widehat h_L(P)=\lim_{n\to\infty}4^{-n}h_L([2^n]P)$. It is quadratic and differs from the associated logarithmic Weil height by a bounded function. The <canonical height of an elliptic curve> specializes this construction to a one-dimensional abelian variety.

 Back to article page