A divisibility theorem for the Alexander polynomial of a plane algebraic curve
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 146-156
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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 Nory's vanishing theorem.
@article{ZNSL_2001_280_a7,
author = {A. I. Degtyarev},
title = {A divisibility theorem for the {Alexander} polynomial of a plane algebraic curve},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {146--156},
year = {2001},
volume = {280},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a7/}
}
A. I. Degtyarev. A divisibility theorem for the Alexander polynomial of a plane algebraic curve. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 146-156. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a7/