Multivariable Hodge theoretical invariants of germs of plane curves

Details Multivariable Hodge theoretical invariants of germs of plane curves Multivariable Hodge theoretical invariants of germs of plane curves

2009-04-06

arxiv.org/abs/0904.1030v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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