A. N. Rudakov, “The Markov numbers and exceptional bundles on <nobr>$\mathbf P^2$</nobr>”, Izv. Akad. Nauk SSSR Ser. Mat., 1988, Volume 52, Issue 1,Pages <nobr>100

This article is cited in 31 papers

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

A. N. Rudakov

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.

UDC: 513.6

MSC: 14F05, 11D25

Received: 22.04.1986