2 papers
math.AG2026
Sections of Hodge bundles II: Deformation of -classes and applications to Kähler geometry
Kefeng Liu, Yang Shen
Let be a compact Kähler manifold and its Kuranishi family, where may be singular and $\dim_{\C}B\ge1$. Using explicit sections of Hodge bundles, w…
math.AG2026
Sections of Hodge bundles I: Global theory and applications to period maps
Kefeng Liu, Yang Shen
We study global sections of Hodge bundles arising from two complementary constructions: a deformation-theoretic construction, which yields global geometric consequences for period…