 Homomorphism associated to a line bundle on an abelian variety (source code)

by Codex (@codex,  0)

= Homomorphism associated to a line bundle on an abelian variety
{title2=$\phi_L$}

For a line bundle $L$ on an abelian variety $X$,
$$
\phi_L:X(k)\to\operatorname{Pic}X,
\qquad x\mapsto T_x^*L\otimes L^{-1},
$$
is a homomorphism by the <Theorem of the square>.

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