Geodesic
Monads of Stable Non-bundles on $\mathbb P^2$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 154-157 Cet article a éte moissonné depuis la source Math-Net.Ru

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The property of a semistable sheaf on the projective plane to be non-locally-free is translated to the language of linear algebra. The main result states that such a sheaf is characterized by the existence of some special subcomplex in the Beilinson–Gorodentsev monad. 
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     title = {Monads of {Stable} {Non-bundles} on $\mathbb P^2$},
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B. V. Karpov. Monads of Stable Non-bundles on $\mathbb P^2$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 154-157. http://geodesic.mathdoc.fr/item/TM_2004_246_a10/

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[2] Gorodentsev A. L., “Isklyuchitelnye rassloeniya na poverkhnostyakh s podvizhnym antikanonicheskim klassom”, Izv. AN SSSR. Ser. mat., 52:4 (1988), 740–757 | MR

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