TL;DR
This paper extends SL(2)-orbit theorems to non-polarizable mixed Hodge structures and Deligne systems, broadening the scope of degeneration analysis in Hodge theory.
Contribution
It generalizes existing SL(2)-orbit theorems by removing the polarizability assumption, applicable to a wider class of mixed Hodge structures.
Findings
Extended SL(2)-orbit theorems without polarizability assumption
Derived analogous results for Deligne systems
Broadened understanding of degenerations in mixed Hodge theory
Abstract
We extend SL(2)-orbit theorems for degeneration of mixed Hodge structures to a situation in which we do not assume the polarizability of graded quotients. We also obtain analogous results on Deligne systems.
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