Germ of a sheaf section
= Germ of a sheaf section
{title2=$s_x\in\mathcal F_x$}
The germ $s_x$ of a section $s\in\mathcal F(U)$ is its image in the <stalk of a sheaf> $\mathcal F_x$. It is zero exactly when $s$ restricts to zero on some neighbourhood of $x$.