Limits of families of Brieskorn lattices and compactified classifying spaces

Details Limits of families of Brieskorn lattices and compactified classifying spaces Limits of families of Brieskorn lattices and compactified classifying spaces

2008-05-30

arxiv.org/abs/0805.4777v3

Mathematics

Algebraic Geometry

55 pages

Scientific paper

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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