# Hodge theory of degenerations, (I): Consequences of the decomposition theorem

## TL;DR

This paper explores how the Decomposition Theorem can be used to extend classical results in Hodge theory, specifically relating the asymptotic behavior of degenerations to the mixed Hodge structures of singular fibers.

## Contribution

It generalizes the Clemens-Schmid sequence by applying the Decomposition Theorem to connect degeneration asymptotics with mixed Hodge theory.

## Key findings

- Generalized Clemens-Schmid sequence derived
- Established links between asymptotic Hodge theory and singular fibers
- Provided new tools for studying degenerations in algebraic geometry

## Abstract

We use the Decomposition Theorem to derive several generalizations of the Clemens-Schmid sequence, relating asymptotic Hodge theory of a degeneration to the mixed Hodge theory of its singular fiber(s).