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Barth, W.

Moduli of vector bundles on the projective plane. (English) Zbl 0386.14005

Invent. Math. 42, 63-91 (1977).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0386.14005

Cited in 18 Reviews
Cited in 105 Documents

MSC:

14D20 Algebraic moduli problems, moduli of vector bundles
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14C21 Pencils, nets, webs in algebraic geometry
14J25 Special surfaces
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References:

[1] Atiyah, M.F.: Riemann surfaces and spin structures. Ann. Sci. Ec. Norm. Sup. 4e serie, t.4, 47-62 (1971) · Zbl 0212.56402
[2] Barth, W.: Some properties of stable rank-2 vector bundles on ? n . Math. Ann.226, 125-150 (1977) · doi:10.1007/BF01360864
[3] Bateman, H.: The quartic curve and its inscribed configurations. Am. J. Math.36, 357-386 (1914) · JFM 45.0823.01 · doi:10.2307/2370369
[4] Darboux, G.: Principes de géométrie analytique. Paris: Gauthiers-Villars 1917 · JFM 46.0877.14
[5] Horrocks, G.: Vector bundles on the punctured spectrum of a local ring. Proc. London math. Soc.14, 689-713 (1964) · Zbl 0126.16801 · doi:10.1112/plms/s3-14.4.689
[6] Hulsbergen, W.: Vector bundles on the projective plane. Proefschrift, Leiden (1976)
[7] Lüroth, J.: Einige Eigenschaften einer gewissen Gattung von Curven vierter Ordnung. Math. Ann.1, 37-53 (1869) · JFM 02.0511.02 · doi:10.1007/BF01447385
[8] Maruyama, M.: Stable vector bundles on an algebraic surface. Nagoya Math. J.58, 25-68 (1975) · Zbl 0337.14026
[9] Mumford, D.: Lectures on curves on an algebraic surface. Ann. Math. Studies 59, Princeton N.J. (1966) · Zbl 0187.42701
[10] Mumford, D.: Theta characteristics on an algebraic curve. Ann. Sci. Ec. Norm. Sup. 4e serie, t.4, 181-192 (1971) · Zbl 0216.05904
[11] Schwarzenberger, R.L.E.: Vector bundles on the projective plane. Proc. London math. Soc. (3)11, 623-640 (1961) · Zbl 0212.26004 · doi:10.1112/plms/s3-11.1.623
[12] Tyurin, A.N.: On intersections of quadrics. Russian Math. Surveys30: 6, 51-105 (1975). Transl. from Russian. · Zbl 0339.14020 · doi:10.1070/RM1975v030n06ABEH001530
[13] Waterhouse, W.C.: Pairs of quadratic forms. Inventiones math.37, 157-164 (1976) · Zbl 0337.10015 · doi:10.1007/BF01418967
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