%0 Journal Article %T Multivariable Hodge theoretical invariants of germs of plane curves %A Pierrette Cassou-Nogues %A Anatoly Libgober %J Mathematics %D 2009 %I arXiv %X We describe methods for calculation of polytopes of quasiadjunction for plane curve singularities which are invariants giving a Hodge theoretical refinement of the zero sets of multivariable Alexander polynomials. In particular we identify some hyperplanes on which all polynomials in multivariable Bernstein ideal vanish. %U http://arxiv.org/abs/0904.1030v1