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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2 papers · 1 filter

math.AG2023

Geometric polarized log Hodge structures for semistable families

Taro Fujisawa, Chikara Nakayama

We prove that a projective semistable morphism of fs log analytic spaces yields polarized log Hodge structures in the canonical way.

math.AG2023

Classifying spaces of degenerating mixed Hodge structures, VI: Log real analytic functions and log $C^{\infty}$ functions

Kazuya Kato, Chikara Nakayama, Sampei Usui

To advance our log Hodge theory, we introduce log real analytic functions and log $C^{\infty}$ functions, define how to integrate them, and prove the log Poincaré lemma. We give be…

Geometric polarized log Hodge structures for semistable families

Classifying spaces of degenerating mixed Hodge structures, VI: Log real analytic functions and log C∞ functions

Classifying spaces of degenerating mixed Hodge structures, VI: Log real analytic functions and log $C^{\infty}$ functions