Some remarks on decomposition theorem for proper Kähler morphisms
M. Saito. (2022)cite arxiv:2204.09026Comment: 12 pages.
Abstract
We explain a correct proof of the decomposition theorem for direct images of
constant Hodge modules by proper Kähler morphisms of complex manifolds. We
also give some examples showing certain difficulty in the non-constant Hodge
module case.
Description
Some remarks on decomposition theorem for proper K\"ahler morphisms
%0 Generic
%1 saito2022remarks
%A Saito, Morihiko
%D 2022
%K Hodge Perverse decomposition
%T Some remarks on decomposition theorem for proper Kähler morphisms
%U http://arxiv.org/abs/2204.09026
%X We explain a correct proof of the decomposition theorem for direct images of
constant Hodge modules by proper Kähler morphisms of complex manifolds. We
also give some examples showing certain difficulty in the non-constant Hodge
module case.
@misc{saito2022remarks,
abstract = {We explain a correct proof of the decomposition theorem for direct images of
constant Hodge modules by proper K\"ahler morphisms of complex manifolds. We
also give some examples showing certain difficulty in the non-constant Hodge
module case.},
added-at = {2022-05-13T16:46:42.000+0200},
author = {Saito, Morihiko},
biburl = {https://www.bibsonomy.org/bibtex/2bfde845645fbd2fa86c63fd05de8a157/dragosf},
description = {Some remarks on decomposition theorem for proper K\"ahler morphisms},
interhash = {ee7ae0cc85035fd238cef2f9bfcb394b},
intrahash = {bfde845645fbd2fa86c63fd05de8a157},
keywords = {Hodge Perverse decomposition},
note = {cite arxiv:2204.09026Comment: 12 pages},
timestamp = {2022-05-13T16:46:42.000+0200},
title = {Some remarks on decomposition theorem for proper K\"ahler morphisms},
url = {http://arxiv.org/abs/2204.09026},
year = 2022
}