Limits of families of Brieskorn lattices and compactified classifying spaces

By C. Hertling, Christian Sevenheck. 2008

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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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/392c92a38073fb8a478f7f27c597aaeb29c7fb8a