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Deforming vector bundles on the projective plane

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References

  1. Bănică, C.: Topologisch triviale holomorphe Vektorbündel auf ℙ n (C). Reine Angew. Math. (to appear)

  2. Barth, W.: Moduli of vector bundles on the projective plane. Invent. Math.42, 63–91 (1977)

    Article  Google Scholar 

  3. Ellingsrud, G., Strømme, S.A.: On the moduli space for stable rank-2 vector bundles on ℙ2. Preprint, Oslo (1979)

  4. Grothendieck, A.: Techniques de construction et théorèmes d'existence en géométrie algébrique IV: Les schémas de Hilbert. Séminaire Bourbaki 221 (1960/61)

  5. Hartshorne, R.: Stable vector bundles of rank 2 on ℙ3. Math. Ann.238, 229–280 (1978)

    Article  Google Scholar 

  6. Hulek, K.: Stable rank-2 vector bundles on ℙ2 withc 1 odd. Math. Ann.242, 241–266 (1979)

    Google Scholar 

  7. Kleiman, S.: Relative duality for quasi-coherent sheaves. Compositio Math.41, 39–60 (1980)

    Google Scholar 

  8. Laudal, O.A.: Formal moduli of algebraic structures. Lecture Notes in Mathematics, No. 754. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  9. Maruyama, M.: On a family of algebraic vector bundles. In: Number theory, algebraic geometry and commutative algebra, in honor of Y. Akizuki, pp. 95–146. Tokyo 1973

  10. Mumford, D.: Lectures on curves on an algebraic surface. Annals of Math. Studies 59. Princeton: Princeton University Press 1966

    Google Scholar 

  11. Schafft, U.: Nichtsepariertheit instabiler Rang-2-Vektorbündel auf ℙ2. Dissertation. Göttingen (1981)

  12. Schafft, U.: Nichtsepariertheit instabiler Rang-2-Vektorbündel auf ℙ2. J. Reine Angew. Math.338, 136–143 (1983)

    Google Scholar 

  13. Schlessinger, M.: Functors of Artin rings. Trans. Am. Math. Soc.130, 208–222 (1968)

    Google Scholar 

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  1. Department of Mathematics, University of Bergen, N-5014, Bergen, Norway

    Stein Arild Strømme

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  1. Stein Arild Strømme
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Strømme, S.A. Deforming vector bundles on the projective plane. Math. Ann. 263, 385–397 (1983). https://doi.org/10.1007/BF01457140

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  • DOI: https://doi.org/10.1007/BF01457140

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