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Stable vector bundles on projective spaces in \(\text{char}p>0\). (English) Zbl 0431.14003


MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14G15 Finite ground fields in algebraic geometry
14G20 Local ground fields in algebraic geometry
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References:

[1] Barth, W.: Some properties of stable rank 2 bundles onP n. Math. Ann.226, 125-130 (1977) · Zbl 0417.32013 · doi:10.1007/BF01360864
[2] Barth, W., Hulek, K.: Monads and moduli of vector bundles. Manuscripta math.25, 323-347 (1978) · Zbl 0395.14007 · doi:10.1007/BF01168047
[3] Elencwajg, G., Forster, O.: Bounding cohomology groups of vector bundles onP n . Math. Ann.246, 251-270 (1980) · Zbl 0432.14011 · doi:10.1007/BF01371047
[4] Elencwajg, G., Hirschowitz, A., Schneider, M.: Les fibres uniformes de rang au plusn surP n (C) sont ceux qu’on croit (to appear) · Zbl 0456.32009
[5] Ellingsrud, G., Strømme, S.: On the moduli space for stable rank 2 bundles onP 2 with odd chern class (preprint) · Zbl 0632.14013
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[10] Hartshorne, R.: Stable reflexive sheaves Math Ann 254, 121-176 (1980) · Zbl 0437.14008 · doi:10.1007/BF01467074
[11] Hulek, K.: On the classification of stable rankr bundles over projective plane (to appear) · Zbl 0446.14006
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[13] Lange, H.: The stability of a rank 2 vector bundles onP 2. Preprint 91. Dept. Math. Univ. Fed. Perambuco Recife, Brasil 49 P.P. (1978)
[14] Lange, H.: On stable and uniform rank 2 vector bundles in characteristicp. Preprint 92. Dept. Math. Univ. Fed. Perambuco, Recife, Brasil (1978) · Zbl 0439.14001
[15] Manin, Ju.I.: Lectures onk-functors in algebraic geometry. Russian Math. Survey24, 1-89
[16] Maruyama, M.: On a family of algebraic vector bundles. Volume in Honour of Y. Akizuki. Tokyo (1978) · Zbl 0412.14004
[17] Maruyama, M.: Stable vector bundles on an algebraic surface. Nagoya Math. J.58, 25-68 (1975) · Zbl 0337.14026
[18] Maruyama, M.: Boundedness of semistable sheaves of small ranks. Nagoya Math. J.78, 65-94 (1980) · Zbl 0456.14011
[19] Sato, E.: Uniform vector bundles on a projective space. J Math. Soc. Japan28, 123-132 (1976) · Zbl 0315.14003 · doi:10.2969/jmsj/02810123
[20] Spindler, H.: Der Satz von Grauert-Mülich für beliebige semistable holomorphe Vektorbündel über demn-dimensionalen komplex-projektiven Raum. Math. Ann.243, 131-141 (1979) · Zbl 0435.32018 · doi:10.1007/BF01420420
[21] Van de Ven, A.: On uniform vector bundles. Math. Ann.195, 245-248 (1972) · Zbl 0215.43202
[22] Wever, P.: The moduli of a class of rank two vector bundles onP 3. Ph. D. Thesis, Berkeley (1978)
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