%0 Generic %1 saito2017milnor %A Saito, Takahiro %D 2017 %K milnor %T Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities %U http://arxiv.org/abs/1710.05307 %X 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.

@misc{saito2017milnor, 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.}, added-at = {2018-11-22T06:39:26.000+0100}, author = {Saito, Takahiro}, biburl = {https://www.bibsonomy.org/bibtex/2f732d430d5214d23b2c4bb793b820103/taka3617}, description = {Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities}, interhash = {8c7de92b81d9d3c3958b0d7cdb84e132}, intrahash = {f732d430d5214d23b2c4bb793b820103}, keywords = {milnor}, note = {cite arxiv:1710.05307Comment: 25 pages, 1 figure, to appear in Advances in Mathematics}, timestamp = {2018-11-22T06:39:26.000+0100}, title = {Milnor monodromies and mixed Hodge structures for non-isolated hypersurface singularities}, url = {http://arxiv.org/abs/1710.05307}, year = 2017 }