8 citations · 8 across the 2 of their papers we have counts for
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SL_2-orbits and degenerations of mixed Hodge structure
Gregory Pearlstein
We prove an analog of Schmid's -orbit theorem for a class of variations of mixed Hodge structure which includes logarithmic deformations, degenerations of 1-motive…
Opposite filtrations, variations of Hodge structure, and Frobenius modules
Javier Fernandez, Gregory Pearlstein
In this article we describe three constructions of complex variations of Hodge structure, proving the existence of interesting opposite filtrations that generalize a construction o…
Singularities of variations of mixed Hodge structure
Aroldo Kaplan, Gregory J. Pearlstein
We prove that a variation of graded-polarizable mixed Hodge structure over a punctured disk with unipotent monodromy, has a limiting mixed Hodge structure at the puncture (i.e., it…
Degenerations of Mixed Hodge structure
Gregory J Pearlstein
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…
Variations of Mixed Hodge Structure, Higgs Fields, and Quantum Cohomology
Gregory J Pearlstein
Insprired by the work of C. Simpson, it is shown that every variation of graded-polarized mixed Hodge structure defined over Q gives rise to a natural Higgs field on the underlying…