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arXiv · 0805.4777

Limits of families of Brieskorn lattices and compactified classifying spaces

Claus Hertling·Christian Sevenheck
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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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Claus Hertling, Christian Sevenheck. 2009-10-05. Limits of families of Brieskorn lattices and compactified classifying spaces. https://arxiv.org/abs/0805.4777

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