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Direct image with compact support
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the direct image with compact (or proper) support is an <a href="/facts/Image_functors_for_sheaves/UgAnE14w">image functor</a> for <a href="/facts/Sheaf_(mathematics)/MM3hcRw4">sheaves</a> that extends the <a href="/facts/Compactly_supported/BTuMGbsb">compactly supported</a> <a href="/facts/Global_sections_functor/MM3hcRw4">global sections functor</a> to the relative setting. It is one of <a href="/facts/Alexander_Grothendieck/jLQGPY7M">Grothendieck's</a> <a href="/facts/Six_operations/lAz8n9tc">six operations</a>. </p>