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arxiv: 0904.1030 · v1 · submitted 2009-04-06 · 🧮 math.AG

Multivariable Hodge theoretical invariants of germs of plane curves

classification 🧮 math.AG
keywords multivariablehodgeinvariantsplanepolynomialstheoreticalalexanderbernstein
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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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