Decomposition of Direct Images of Logarithmic Differentials

DOI10.1093/IMRN/RNT205zbMATH Open1326.14035arXiv1304.2231OpenAlexW2160167879MaRDI QIDQ5175408

Donu Arapura

Publication date: 23 February 2015

Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1304.2231

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Varieties and morphisms (14A10)

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