TOWARD COHERENCE OF ANALYTIC ADJOINT IDEAL SHEAVES

Abstract

First, we introduce the notion of multiplier ideal sheaves which measure singularities of plurisubharmonic functions. And then we look into Hormander's estimates which enable to prove coherence of multiplier ideal sheaves. Secondly, we introduce the analogue of multiplier ideal sheaves namely, adjoint ideal sheaves and suggest analytic approaches to proof of coherence of adjoint ideal sheaves.