On moduli spaces for stable bundles on quadrics
Matematičeskie zametki, Tome 62 (1997) no. 6, pp. 843-864.

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We investigate the relation between stable representations of quivers and stable sheaves. A construction of thin smooth compact moduli spaces for stable sheaves on quadrics based on this relation is presented.
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S. A. Kuleshov. On moduli spaces for stable bundles on quadrics. Matematičeskie zametki, Tome 62 (1997) no. 6, pp. 843-864. http://geodesic.mathdoc.fr/item/MZM_1997_62_6_a5/

[1] Drezet J.-M., “Fibrés exceptionnels et variétés de modules de faisceaux semi-stables sur $\mathbb P_2(\mathbb C)$”, J. Reine Angew. Math., 380 (1987), 14–58 | MR | Zbl

[2] Karpov B. V., “Polustabilnye puchki na dvumernoi kvadrike i moduli Kronekera”, Izv. RAN. Ser. matem., 56:1 (1992), 38–74 | MR | Zbl

[3] Ellingsrud G., Strömme S. A., Towards the Chow Ring of the Moduli Space for Stable Sheaves on $\mathbb P_2$ with $c_1=1$, Preprint, Oslo Univ., Oslo, 1991

[4] King A., “Moduli of representations of finite-dimensional algebras”, Quart. J. Math. Oxford Ser. (2), 45 (1994), 515–530 | DOI | MR | Zbl

[5] Bondal A. I., “Helixes, representation of Quivers and Koszul algebras”, Helixes and Vector Bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 75–95 | MR

[6] Rudakov A. N., “Isklyuchitelnye rassloeniya na kvadrike”, Izv. AN SSSR. Ser. matem., 52:4 (1988), 788–812 | Zbl

[7] Gorodentsev A. L., “Exceptional objects and mutations in derived categories”, Helixes and Vector Bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 57–74 | MR

[8] Okonek K., Shneider M., Shpindler Kh., Vektornye rassloeniya na kompleksnykh proektivnykh prostranstvakh, Mir, M., 1984 | Zbl

[9] Griffits F., Kharris Dzh., Printsipy algebraicheskoi geometrii, Mir, M., 1982