SL(2)-orbit theorem for degeneration of mixed Hodge structure

Abstract

Cattani, Kaplan and Schmid (1986) established the SL(2)-orbit theorem in several variables for the degeneration of polarized Hodge structure. The aim of the present paper is to generalize it for the degeneration of mixed Hodge structure whose graded quotients by the weight filtration are polarized. As an application, we obtain a mixed Hodge version of an estimate of the Hodge metric for the degeneration of polarized Hodge structure.