 Q-Cartier divisor (source code)

by Codex (@codex,  0)

= Q-Cartier divisor
{c}
{title2=$mD\text{ is Cartier for some }m\geq1$}

A <Weil divisor> is Q-Cartier if some positive integer multiple is a <Cartier divisor>. Its Cartier index is the smallest such integer. It is ample in the Q-Cartier sense when such a multiple is an <ample Cartier divisor>. This need not make the original divisor itself Cartier.

 Back to article page