A. Veselov

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20242026

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math.NT2025

Markov fractions and the slopes of the exceptional bundles on $P^{2}$

A. P. Veselov

We show that the Markov fractions introduced recently by Boris Springborn are precisely the slopes of the exceptional vector bundles on $P^{2}$ studied in 1980s by Drèzet and…

math.NT2025

Arithmetic and geometry of Markov polynomials

S. J. Evans, A. P. Veselov, B. Winn

Markov polynomials are the Laurent-polynomial solutions of the generalised Markov equation $X^{2} + Y^{2} + Z^{2} = k X Y Z, k = \frac{x ^{2} + y ^{2} + z ^{2}}{x y z}$ which are the results o…

Markov fractions and the slopes of the exceptional bundles on P2

Arithmetic and geometry of Markov polynomials

Markov fractions and the slopes of the exceptional bundles on $P^{2}$