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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 280, Pages 146–156 (Mi znsl1473)  
This article is cited in 1 scientific paper (total in 1 paper)

A divisibility theorem for the Alexander polynomial of a plane algebraic curve

A. I. Degtyarev

Bilkent University
Full-text PDF (222 kB) Citations (1)
Abstract: 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.
Received: 21.12.2000
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 2, Pages 205–210
DOI: https://doi.org/10.1023/B:JOTH.0000008758.55140.e7
Bibliographic databases:
UDC: 512.772+515.164
Language: Russian
Citation: A. I. Degtyarev, “A divisibility theorem for the Alexander polynomial of a plane algebraic curve”, Geometry and topology. Part 7, Zap. Nauchn. Sem. POMI, 280, POMI, St. Petersburg, 2001, 146–156; J. Math. Sci. (N. Y.), 119:2 (2004), 205–210
Citation in format AMSBIB
\Bibitem{Deg01}
\by A.~I.~Degtyarev
\paper A divisibility theorem for the Alexander polynomial of a plane algebraic curve
\inbook Geometry and topology. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 280
\pages 146--156
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1473}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879260}
\zmath{https://zbmath.org/?q=an:1075.14025}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 2
\pages 205--210
\crossref{https://doi.org/10.1023/B:JOTH.0000008758.55140.e7}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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