Geodesic
Moduli of stable vector bundles of rank~2 on $P_3$ with fixed spectrum
Izvestiya. Mathematics , Tome 25 (1985) no. 2, pp. 301-313.

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Moduli of stable rank 2 vector bundles on the three-dimensional complex projective space are studied. Using the notion of spectrum, two series of components in the moduli scheme of such bundles are pointed out. Each component is an irreducible rational variety, and asymptotically the dimension of the components behaves as a quadratic or cubic polynomial. The monadic realization of a generic bundle on the components is given by a rank one monad. Bibliography: 5 titles. 
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     title = {Moduli of stable vector bundles of rank~2 on $P_3$ with fixed spectrum},
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V. K. Vedernikov. Moduli of stable vector bundles of rank~2 on $P_3$ with fixed spectrum. Izvestiya. Mathematics , Tome 25 (1985) no. 2, pp. 301-313. http://geodesic.mathdoc.fr/item/IM2_1985_25_2_a2/

[1] Hartshorne R., “Stable vector bundles of rank 2 on $P_3$”, Math. Ann., 238 (1978), 229–280 | DOI | MR | Zbl

[2] Hartshorne R., “Stable reflexive sheaves, I”, Math. Ann., 254 (1980), 121–176 ; II Invent Math., 66 (1982), 165–190 | DOI | MR | Zbl | DOI | MR | Zbl

[3] Ellingsrud G., Strömme S., “Stable rank 2 vector bundles on $P_3$ with $c_1=0$ and $c_2=3$”, Math. Ann., 255 (1981), 129–138 | DOI | MR

[4] Hartshorne R., Sols I., “Moduli of bundles of rank 2 on $P_3$ with $c_1=-1$, $c_2=2$”, Journal Reine und Angew. Math., 325 (1981), 145–152 | MR | Zbl

[5] Earth W., “Stable vector bundles on $P_3$. Some experimental data”, Seminar Douady–Verdier, Asterisque, 71,72, 1980, 205–218