Injective resolution of sheaves
= Injective resolution of sheaves
{title2=$0\to\mathcal F\to\mathcal J^0\to\mathcal J^1\to\cdots$}
= Injective resolutions of sheaves
{synonym}
An injective resolution is an <exact sequence> starting with a <sheaf> and continuing with <injective sheaves>. It is constructed by successively embedding each quotient in an injective sheaf. Taking <global sections> and then cohomology computes <sheaf cohomology>; in particular an injective sheaf has zero higher cohomology.