Source: wikibot/kempf-vanishing-theorem
= Kempf vanishing theorem
{wiki=Kempf_vanishing_theorem}
The Kempf vanishing theorem is a result in algebraic geometry that deals with the behavior of sections of certain vector bundles on algebraic varieties, particularly in the context of ample line bundles. Named after G. R. Kempf, the theorem addresses the vanishing of global sections of certain sheaves associated with a variety.