Hodge theory on generalized normal crossing varieties

TL;DR

This paper extends key results of Hodge theory to a broader class of algebraic varieties known as generalized normal crossing varieties, enhancing understanding of their geometric and topological properties.

Contribution

It introduces new methods to apply Hodge theory to generalized normal crossing varieties, broadening the scope of classical results.

Findings

Hodge theoretic properties are established for generalized normal crossing varieties

New techniques for analyzing singularities in these varieties

Enhanced understanding of their cohomological structures

Abstract

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