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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 1, Pages 99–112
DOI: https://doi.org/10.1070/IM1989v032n01ABEH000738 (Mi im1170) 		 
This article is cited in 30 scientific papers (total in 30 papers)

The Markov numbers and exceptional bundles on $\mathbf P^2$

A. N. Rudakov
English version PDF (671 kB) Citations (30) Russian version article
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DOI: https://doi.org/10.1070/IM1989v032n01ABEH000738
Abstract: The author establishes a one-to-one correspondence between the natural solutions of the Markov equation $x^2+y^2+z^2=3xyz$ and the exceptional bundles on the projective plane whose slopes belong to the interval $\biggl[0,\dfrac12\biggr]$. He also studies the properties of exceptional bundles and exact sequences connecting them.
Bibliography: 8 titles.
Received: 22.04.1986
Bibliographic databases:
UDC: 513.6
MSC: 14F05, 11D25
Language: English
Original paper language: Russian
Citation: A. N. Rudakov, “The Markov numbers and exceptional bundles on $\mathbf P^2$”, Math. USSR-Izv., 32:1 (1989), 99–112
Citation in format AMSBIB
\Bibitem{Rud88}
\by A.~N.~Rudakov
\paper The Markov numbers and exceptional bundles on~$\mathbf P^2$
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 1
\pages 99--112
\mathnet{http://mi.mathnet.ru//eng/im1170}
\crossref{https://doi.org/10.1070/IM1989v032n01ABEH000738}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=936525}
\zmath{https://zbmath.org/?q=an:0661.14017}
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  • https://www.mathnet.ru/eng/im/v52/i1/p100
    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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