Source: wikibot/kawamata-viehweg-vanishing-theorem

= Kawamata–Viehweg vanishing theorem
{wiki=Kawamata–Viehweg_vanishing_theorem}

The Kawamata–Viehweg vanishing theorem is a result in algebraic geometry that deals with the cohomology of certain coherent sheaves on projective varieties, particularly in the context of higher-dimensional algebraic geometry. It addresses conditions under which certain cohomology groups vanish, which is crucial for understanding the geometry of algebraic varieties and the behavior of their line bundles.