The Markov numbers and exceptional bundles on~$\mathbf P^2$
Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 99-112

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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.
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     author = {A. N. Rudakov},
     title = {The {Markov} numbers and exceptional bundles on~$\mathbf P^2$},
     journal = {Izvestiya. Mathematics },
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     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a5/}
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A. N. Rudakov. The Markov numbers and exceptional bundles on~$\mathbf P^2$. Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 99-112. http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a5/