Decomposition of Direct Images of Logarithmic Differentials

作者:Arapura Donu*
来源:International Mathematics Research Notices, 2015, (3): 763-772.
DOI:10.1093/imrn/rnt205

摘要

The purpose of this note is to give a short proof of a theorem of Kollar 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.

  • 出版日期2015

全文