Decomposition of direct images of logarithmic differentials
Algebraic Geometry
2013-09-16 v2
Abstract
The purpose of this note is to give a short proof of a theorem of Koll\'ar 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.
Keywords
Cite
@article{arxiv.1304.2231,
title = {Decomposition of direct images of logarithmic differentials},
author = {Donu Arapura},
journal= {arXiv preprint arXiv:1304.2231},
year = {2013}
}
Comments
Final revision; to appear in IMRN; 7 pages