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VOL. 54 | 2009 Classifying spaces of degenerating mixed Hodge structures, I: Borel–Serre spaces
Kazuya Kato, Chikara Nakayama, Sampei Usui

Editor(s) Tetsuji Miwa, Atsushi Matsuo, Toshiki Nakashima, Yoshihisa Saito

## Abstract

Let $D$ be the classifying space of mixed Hodge structures with polarized graded quotients. We construct a real analytic manifold with corners $D_{\mathrm{BS}}$ which contains $D$ as a dense open subset. This is the mixed Hodge theoretic version of the Borel–Serre space in the case of pure weight constructed by Borel–Ji and Kato–Usui.

## Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1179.14008
MathSciNet: MR2499557

Digital Object Identifier: 10.2969/aspm/05410187

Subjects:
Primary: 14C30
Secondary: 14D07, 32G20