Classifying spaces of degenerating mixed Hodge structures, V: Extended period domains and algebraic groups

2021/07/08 by Kazuya Katô, Kato, Kazuya, Chikara Nakayama +3
Mathematics · #32G20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Primary 14A21 #Secondary 14D07

paper · pdf · doi:10.48550/arxiv.2107.03561

openalex publication_date 2021/07/08 · openalex created_date 2021/07/19 · openalex updated_date 2026/07/28

Abstract

For a linear algebraic group G over \bf Q, we consider the period domains D classifying G-mixed Hodge structures, and construct the extended period domains D_BS, D_SL(2), and Γ\backslash D_Σ. In particular, we give toroidal partial compactifications of mixed Mumford--Tate domains.

Related

• Extended period domains and algebraic groups
• Extended period domains, algebraic groups, and higher Albanese manifolds
• A note on period domains of Hodge structures
• Toroidal Compactifications and Stacky Cohomology of Mumford--Tate Domains
• Variations of Hodge structure and orbits in flag varieties