Year: 2025
Type: article
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, and generalize it to the non-classical situation.
DOI: 10.3792/pjaa.101.003
Authors: Kazuya Kato, Chikara Nakayama, Sampei Usui
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: 係数環付きアーベル多様体のモジュライ空間のコンパクト化と log 幾何, Period Domains and Number Theory, Construction and evolution of log Hodge theory and applications of the fundamental diagram to geometry, Compactifications of Mumford-Tate domains and log geometry, Theory of mixed log Hodge structures and its applications, Period Domains, Motives, and Ramification Theory in Arithmetic Geometry, Period domains and related studies in arithmetic
OpenAlex ID: W4408140625