Abstract
Using the methods of [11], we give a simple and short proof for the fact, that ℙ GL(4) acts transitively on\(M_{\mathbb{P}_3 } \) (−1,2). Following this, we give a new description of\(M_{\mathbb{P}_3 } \) (−1,2).
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Literatur
Barth, W.: Some properties of stable rank-2 vectorbundles on ℙn. Math. Ann.,226, 125–150, 1977
Böhmer, W.: Monads and matrices for instantons and Horrocks-Mumford-examples, to appear.
Hartshorne, R., Sols, I.: Stable rank 2 vector bundles on ℙ3 with c1=−1, c2=2. J. reine angew. Math.,325, 145–152, 1981.
Holmann, H.: Quotienten komplexer Räume. Math. Ann.,142, 407–440, 1961.
Hulek, K.: Stabile Rang-2 Vektorbündel auf ℙ2 mit ungerader erster Chernklasse. Dissertation, Erlangen, 1979.
Le Potier, J.: Stabilité et amplitude sur ℙ2(ℂ), in: Vector bundles and differential equations, Proceedings, Nice, France, 1979. Boston Basel-Stuttgart, Birkhäuser, 1980.
Manolache, N.: Rank 2 stable vector bundles on ℙ3 with Chern classes C1=−1, C2=2. Rev. Roum. Math. Pures et Appl. 26, no. 9.
Maruyama, M.: Moduli of stable sheaves II. J. Math. Kyoto Univ.,18, 557–614, 1978.
Moore, R., Wardelmann, R.: ℙ GL(4) acts transitively on M(−1,2). Manuscript.
Okonek, C., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces. Boston-Basel-Stuttgart, Birkhäuser, 1980.
Trautmann, G.: Moduli for vector bundles on ℙn(ℂ). Math. Ann.,237, 167–186, 1978.
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Decker, W. Über den Modul-Raum für stabile 2-Vektor-Bündel über ℙ3 mit c1=−1, c2=2. Manuscripta Math 42, 211–219 (1983). https://doi.org/10.1007/BF01169584
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DOI: https://doi.org/10.1007/BF01169584