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Über den Modul-Raum für stabile 2-Vektorbuendel über \(P_ 3\) mit \(c_ 1=-1\), \(c_ 2=2\). (German) Zbl 0524.14017


MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14D20 Algebraic moduli problems, moduli of vector bundles
32G13 Complex-analytic moduli problems
32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results

References:

[1] Barth, W.: Some properties of stable rank-2 vectorbundles on ?n. Math. Ann.,226, 125-150, 1977 · doi:10.1007/BF01360864
[2] Böhmer, W.: Monads and matrices for instantons and Horrocks-Mumford-examples, to appear.
[3] Hartshorne, R., Sols, I.: Stable rank 2 vector bundles on ?3 with c1=?1, c2=2. J. reine angew. Math.,325, 145-152, 1981. · Zbl 0448.14004
[4] Holmann, H.: Quotienten komplexer Räume. Math. Ann.,142, 407-440, 1961. · Zbl 0097.28602 · doi:10.1007/BF01450934
[5] Hulek, K.: Stabile Rang-2 Vektorbündel auf ?2 mit ungerader erster Chernklasse. Dissertation, Erlangen, 1979. · Zbl 1319.14002
[6] Le Potier, J.: Stabilité et amplitude sur ?2(?), in: Vector bundles and differential equations, Proceedings, Nice, France, 1979. Boston Basel-Stuttgart, Birkhäuser, 1980.
[7] Manolache, N.: Rank 2 stable vector bundles on ?3 with Chern classes C1=?1, C2=2. Rev. Roum. Math. Pures et Appl. 26, no. 9. · Zbl 0485.14003
[8] Maruyama, M.: Moduli of stable sheaves II. J. Math. Kyoto Univ.,18, 557-614, 1978. · Zbl 0395.14006
[9] Moore, R., Wardelmann, R.: ? GL(4) acts transitively on M(?1,2). Manuscript. · Zbl 0515.14012
[10] Okonek, C., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces. Boston-Basel-Stuttgart, Birkhäuser, 1980. · Zbl 0438.32016
[11] Trautmann, G.: Moduli for vector bundles on ?n(?). Math. Ann.,237, 167-186, 1978. · Zbl 0369.32009 · doi:10.1007/BF01351680
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