Hodge theory on generalized normal crossing varieties

2011/04/04 by Yūjirō Kawamata, Kawamata, Yujiro
Computer Science · Engineering · Mathematics · #14D07 #14E30 #14F17 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1104.0524

openalex publication_date 2011/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize some results in Hodge theory to generalized normal crossing varieties.

Citations

• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I
• Semipositivity theorem for reducible algebraic fiber spaces

Related

• Normal crossing singularities and Hodge theory over Artin rings
• Normal Crossings Singularities for Symplectic Topology, II
• Mumford Tate groups and the Hodge conjecture
• Intersection theory and Chern classes on normal varieties
• Normal Crossings Singularities for Symplectic Topology: Structures