Curvature of classifying spaces for Brieskorn lattices

Details Curvature of classifying spaces for Brieskorn lattices Curvature of classifying spaces for Brieskorn lattices

2007-12-21

arxiv.org/abs/0712.3691v3

Mathematics

Algebraic Geometry

25 pages

Scientific paper

10.1016/j.geomphys.2008.07.008

We study tt*-geometry on the classifying space for regular singular TERP-structures, e.g., Fourier-Laplace transformations of Brieskorn lattices of isolated hypersurface singularities. We show that (a part of) this classifying space can be canonically equipped with a hermitian structure. We derive an estimate for the holomorphic sectional curvature of this hermitian metric, which is the analogue of a similar result for classifying spaces of pure polarized Hodge structures.

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