2013/04/08 by Donu Arapura, Arapura, Donu
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AG
paper · pdf · doi:10.48550/arxiv.1304.2231
Final revision; to appear in IMRN; 7 pages
arxiv created 2013/09/13 · arxiv updated 2013/09/16
The purpose of this note is to give a short proof of a theorem of Kollár that the derived direct image of the canonical sheaf splits into a sum of its cohomology sheaves. This is deduced from a stronger decomposition theorem for direct images of sheaves of logarithmic differentials, together with the weak semistable reduction theorem.