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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Newtonian and affine classifications of irreducible cubics
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by A. B. Korchagin
Translated by: the author
St. Petersburg Math. J. 24 (2013), 759-781
DOI: https://doi.org/10.1090/S1061-0022-2013-01268-4
Published electronically: July 24, 2013

Abstract:

The equivalence classes of Newton’s classification of irreducible cubics are described in terms of families of standard equations. An affine classification of irreducible cubics is given.
References
  • D. T. Whiteside (ed.), The mathematical papers of Isaac Newton, Cambridge University Press, Cambridge, 1976. Vol. VII: 1691–1695; With the assistance in publication of A. Prag. MR 0505130
  • F. Klein, Lectures on mathematics, The Evanston Colloquium with a preface by A. Ziwet, Merchant Books, 2007, 124 pp.
  • A. S. Smogorževs′kiĭ and E. S. Stolova, Spravochnik po teorii ploskikh krivykh tret′ego poryadka, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). MR 0125500
  • Anatoly B. Korchagin and David A. Weinberg, Quadric, cubic and quartic cones, Rocky Mountain J. Math. 35 (2005), no. 5, 1627–1656. MR 2206027, DOI 10.1216/rmjm/1181069654
  • I. Newton, Enumeratio linearum tertij ordinis, The Mathematical Papers of Isaac Newton. Vol. 7, Cambridge Univ. Press, Cambridge, 1976, pp. 565–645.
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Bibliographic Information
  • A. B. Korchagin
  • Affiliation: Department of Radiophysics, Lobachevsky State University, Gagarin Ave. 23, Nizhniǐ Novgorod 603950, Russia
  • Email: akorchag@yandex.ru
  • Received by editor(s): October 5, 2011
  • Published electronically: July 24, 2013
  • © Copyright 2013 American Mathematical Society
  • Journal: St. Petersburg Math. J. 24 (2013), 759-781
  • MSC (2010): Primary 14P25, 14R05, 14H50; Secondary 51N10, 01A45, 32Q57
  • DOI: https://doi.org/10.1090/S1061-0022-2013-01268-4
  • MathSciNet review: 3087822