Chikara Nakayama

activity

20092026

most citedClassifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits

22 citations · 42 across the 25 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.AG2021

Toroidal compactifications and Borel--Serre compactifications

Kazuya Kato, Chikara Nakayama, Sampei Usui

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 wor…

math.AG2021

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

Kazuya Kato, Chikara Nakayama, Sampei Usui

For a linear algebraic group $G$ over $Q$ , we consider the period domains $D$ classifying $G$ -mixed Hodge structures, and construct the extended period domains $D_{\mathrm{BS}}…