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Ellingsrud, Geir; Strømme, Stein Arild

Stable rank-2 vector bundles on \(\mathbb{P}^3\) with \(c_1=0\) and \(c_2=3\). (English) Zbl 0438.14009

Math. Ann. 255, 123-135 (1981).
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Cited in 3 Reviews
Cited in 26 Documents

MSC:

14D22 Fine and coarse moduli spaces
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)

Keywords:

stable rank-2 vector bundles; moduli space
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\textit{G. Ellingsrud} and \textit{S. A. Strømme}, Math. Ann. 255, 123--135 (1981; Zbl 0438.14009)
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References:

[1] Barth, W.: Some properties of stable rank-2 vector bundles on ? n . Math. Ann.226, 125-150 (1977) · doi:10.1007/BF01360864
[2] Barth, W.: Moduli of vector bundles on the projective plane. Invent. Math.42, 63-91 (1977) · Zbl 0386.14005 · doi:10.1007/BF01389784
[3] Barth, W., Elencwajg, G.: Concernant la cohomologie des fibrés algebriques stables sur ? n (C) Lecture Notes in Mathematics, Vol. 683, pp. 1-24. Berlin, Heidelberg, New York Springer 1978 · Zbl 0381.55005
[4] Barth, W., Hulek, K.: Monads and moduli of vector bundles. Manuscripta Math.25, 323-347 (1978) · Zbl 0395.14007 · doi:10.1007/BF01168047
[5] Grothendieck, A.: Sur la classification des fibrés holomorphes sur la sphère de Riemann. Am. J. Math.79, 121-138 (1956) · Zbl 0079.17001 · doi:10.2307/2372388
[6] Hartshorne, R.: Algebraic geometry. Graduate Texts in Mathematics, Vol. 52. Berlin, Heidelberg New York: Springer 1977 · Zbl 0367.14001
[7] Hartshorne, R.: Stable vector bundles of rank 2 on ?3. Math. Ann.238, 229-280 (1978) · Zbl 0411.14002 · doi:10.1007/BF01420250
[8] Hartshorne, R.: Stable reflexive sheaves. Math. Ann.254, 121-176 (1980) · doi:10.1007/BF01467074
[9] Kleiman, S.: Relative duality for quasi-coherent sheaves (preprint) · Zbl 0403.14003
[10] Le Potier, J.: Fibrés stables de rang 2 sur ?2(C). Math. Ann.241, 217-256 (1979) · Zbl 0405.14008 · doi:10.1007/BF01421207
[11] Maruyama, M.: Moduli of stable sheaves. J. Math. Kyoto Univ.18, 557-614 (1978) · Zbl 0395.14006
[12] Schneider, M.: Holomorphic vector bundles on ? n . Sem. Bourbaki530, (1978-1979)
[13] Schwarzenberger, R.L.E.: Vector bundles on algebraic surfaces. Proc. London Math. Soc.11, 601-622 (1961) · Zbl 0212.26003 · doi:10.1112/plms/s3-11.1.601
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