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Moduli of vector bundles on the projective plane

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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)

    Google Scholar 

  2. Barth, W.: Some properties of stable rank-2 vector bundles on ℙ n . Math. Ann.226, 125–150 (1977)

    Article  Google Scholar 

  3. Bateman, H.: The quartic curve and its inscribed configurations. Am. J. Math.36, 357–386 (1914)

    Google Scholar 

  4. Darboux, G.: Principes de géométrie analytique. Paris: Gauthiers-Villars 1917

    Google Scholar 

  5. Horrocks, G.: Vector bundles on the punctured spectrum of a local ring. Proc. London math. Soc.14, 689–713 (1964)

    Google Scholar 

  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)

    Google Scholar 

  8. Maruyama, M.: Stable vector bundles on an algebraic surface. Nagoya Math. J.58, 25–68 (1975)

    Google Scholar 

  9. Mumford, D.: Lectures on curves on an algebraic surface. Ann. Math. Studies 59, Princeton N.J. (1966)

  10. Mumford, D.: Theta characteristics on an algebraic curve. Ann. Sci. Ec. Norm. Sup. 4e serie, t.4, 181–192 (1971)

    Google Scholar 

  11. Schwarzenberger, R.L.E.: Vector bundles on the projective plane. Proc. London math. Soc. (3)11, 623–640 (1961)

    Google Scholar 

  12. Tyurin, A.N.: On intersections of quadrics. Russian Math. Surveys30: 6, 51–105 (1975). Transl. from Russian.

    Google Scholar 

  13. Waterhouse, W.C.: Pairs of quadratic forms. Inventiones math.37, 157–164 (1976)

    Google Scholar 

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Dedicated to Professor Friedrich Hirzebruch

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Barth, W. Moduli of vector bundles on the projective plane. Invent Math 42, 63–91 (1977). https://doi.org/10.1007/BF01389784

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