Browsing by Subject "Alexander polynomial"

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    A Divisibility theorem for the Alexander polynomial of a plane algebraic curve
    (Springer New York LLC, 2004) Degtyarev, A. I.
    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.
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    Oka's conjecture on irreducible plane sextics II
    (2009) Degtyarev, A.
    We complete the proof of Oka's conjecture on the Alexander polynomial of an irreducible plane sextic. We also calculate the fundamental groups of irreducible sextics with a singular point adjacent to J10. © 2009 World Scientific Publishing Company.