Toroidal compactifications and Borel--Serre compactifications
Kazuya Kato, Chikara Nakayama, Sampei Usui
TL;DR
This paper explores the relationship between toroidal and Borel--Serre compactifications within the framework of extended period domains, providing insights that complement existing work by Goresky--Tai.
Contribution
It offers a new perspective on the connection between two types of compactifications in the context of extended period domains, enhancing understanding of their interplay.
Findings
Clarifies the relationship between toroidal and Borel--Serre compactifications.
Provides a complement to Goresky--Tai's work on the subject.
Contributes to the theory of extended period domains.
Abstract
We discuss connections of toroidal compactifications and Borel--Serre compactifications in view of the fundamental diagram of extended period domains. We give a complement to a work of Goresky--Tai.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds · Algebraic Geometry and Number Theory