Limits of families of Brieskorn lattices and compactified classifying spaces

2008/05/30 by Claus Hertling, Christian Sevenheck, Hertling, Claus +1
Mathematics · #14D07 #32S40 #34M35 #53C07 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG #msc:14D07 #msc:32S40 #msc:34M35 #msc:53C07

paper · pdf · doi:10.48550/arxiv.0805.4777

55 pages

arxiv created 2009/10/05 · arxiv updated 2009/12/01

Abstract

We investigate variations of Brieskorn lattices over non-compact parameter spaces, and discuss the corresponding limit objects on the boundary divisor. We study the associated variation of twistors and the corresponding limit mixed twistor structures. We construct a compact classifying space for regular singular Brieskorn lattices and prove that its pure polarized part carries a natural hermitian structure and that the induced distance makes it into a complete metric space.

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