Limits of Hodge structures in several variables, II

2015/06/07 by Fujisawa, Taro
#32G20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14D07 #Secondary 14C30

paper · doi:10.48550/arxiv.1506.02271

Abstract

The aim of this article is to study degeneration of the variations of Hodge structure associated to a proper Kähler semistable morphism. We prove that the weight filtrations constructed in the author's previous paper coincide with the monodromy weight filtrations on the relative log de Rham cohomology groups of a proper Kähler semistable morphism. Moreover, we show that the limiting mixed Hodge structures form admissible variations of mixed Hodge structure.

Related

• Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration
• Variation Of Mixed Hodge Structures
• Lowest Weights in Cohomology of Variations of Hodge Structure (II)
• Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials
• Singularities of variations of mixed Hodge structure