New Period Mappings for Plane Curve Singularities
Algebraic Geometry
2007-05-23 v2 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.math/9802011,
title = {New Period Mappings for Plane Curve Singularities},
author = {Rainer H. Kaenders},
journal= {arXiv preprint arXiv:math/9802011},
year = {2007}
}
Comments
75 pages, LaTeX2e; the same paper! By accident the documentclass of Trans. Amer. Math. Soc. had been used in the first version