Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities
Algebraic Geometry
2018-11-22 v4
Abstract
We study the Milnor monodromies of non-isolated hypersurface singularities and show that the reduced cohomology groups of the Milnor fibers are concentrated in the middle degree for some eigenvalues of the monodromies. As an application of this result, we give an explicit formula for some parts of their Jordan normal forms.
Keywords
Cite
@article{arxiv.1710.05307,
title = {Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities},
author = {Takahiro Saito},
journal= {arXiv preprint arXiv:1710.05307},
year = {2018}
}
Comments
25 pages, 1 figure, to appear in Advances in Mathematics