A Divisibility theorem for the Alexander polynomial of a plane algebraic curve
Degtyarev, A. I.
Journal of Mathematical Sciences
Springer New York LLC
205 - 210
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An upper estimate for the Alexander polynomial of an algebraic curve is obtained, which sharpens Libgober's estimate in terms of the local polynomials at the singular points of the curve: only those singular points may contribute to the Alexander polynomial of the curve that are in the excess of the hypothesis of Nori's vanishing theorem.