Degenerations of Mixed Hodge structure
Gregory J Pearlstein
TL;DR
This paper extends the theory of mixed Hodge structures by defining harmonic metric equations for filtered bundles and establishing a Nilpotent Orbit Theorem analog for degenerations.
Contribution
It introduces new harmonic metric equations for filtered bundles and proves a precise analog of Schmid's Nilpotent Orbit Theorem for mixed Hodge structures.
Findings
Defined harmonic metric equations for filtered bundles
Proved a Nilpotent Orbit Theorem analog for 1-parameter degenerations
Extended the understanding of degenerations in mixed Hodge structures
Abstract
We continue our work on variations of graded-polarized mixed Hodge structures by defining analogs of the harmonic metric equations for filtered bundles and proving a precise analog of Schmid's Nilpotent Orbit Theorem for 1-parameter degenerations of graded-polarized mixed Hodge structure.
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Taxonomy
TopicsGeometric and Algebraic Topology