The geometry of the Deligne-Hodge decomposition

In this thesis we explore variations of mixed Hodge structures, both locally and asymptotically. First, making use of certain distinguished gradings of the Hodge and weight filtrations, I compute the curvature of appropriate classifying spaces and Hodge bundles relative to a natural “mixed” Hodge me...

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Bibliographic Details
Main Author: Pearlstein, Gregory James
Language:ENG
Published: ScholarWorks@UMass Amherst 1999
Subjects:
Online Access:https://scholarworks.umass.edu/dissertations/AAI9932337