New Period Mappings for Plane Curve Singularities

Details New Period Mappings for Plane Curve Singularities New Period Mappings for Plane Curve Singularities

1998-02-02

arxiv.org/abs/math/9802011v2

Mathematics

Algebraic Geometry

75 pages, LaTeX2e; the same paper! By accident the documentclass of Trans. Amer. Math. Soc. had been used in the first version

Scientific paper

For plane curve singularities we construct a mixed Hodge structure (MHS) over the integers on the fundamental group of the Milnor fiber. The concept nearby fundamental group is introduced and we develop a theory of iterated integrals along elements of this group. We give an example for which the MHS on the nearby fundamental group detects a modulus which is invisible for the MHS on the vanishing cohomology.

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