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On the rationality of the moduli space for stable rank-2 vector bunoles on P2

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References

  1. Banica, C.,Putinar, M.,Schumacher, G.: Variation der globalen Ext in Deformationen kompakter komplexer Räume. Math. Ann. 250, 135–155(1980)

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Ellingsrud,G., Strømme,S.A2: On the moduli space for stable rank-2 vector bundles on ℙ1. Preprint, Oslo (1979)

    Google Scholar 

  4. Ellingsrud,G., Strømme,S.A.: The Picard group of the moduli space for stable rank-2 vector bundles on ℙ2 with odd first Chern class. Preprint, Oslo (1979)

    Google Scholar 

  5. Ellingsrud, G., Strømme, S.A.: Stable Rank-2 Vector Bundles on ℙ2(ℂ) with c1=0 and c2=3. Math. Ann. 255,123–135(1981)

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Fogarty, J.: Algebraic families on an algebraic surface. Am. J. Math. 90,511–521(1968)

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Hartshorne, R.: Algebraic Geometry. Graduate Texts in Math. 52, Berlin, Heidelberg, New York: Springer 1977

    MATH  Google Scholar 

  8. Hoppe, H.J.,Spindler, H.: Modulräume stabiler 2-Bündel auf Regelflächen. Math. Ann. 249,127–140(1980)

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Hulek, K.: Stable Rank-2 Vector Bundles on ℙ2 with c1 odd. Math. Ann. 242,241–266(1979)

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Maruyama, M.: Moduli of stable sheaves II. J.Math. Kyoto Univ. 18,557–614(1978)

    MathSciNet  MATH  Google Scholar 

  11. Maruyama,M.: On rationality of the moduli spaces of vector bundles of rank 2 on ℙ2. Proc. Sendai Conf. (1985)

    Google Scholar 

  12. Schwarzenberger, R.L.E.: Vector Bundles on Algebraic Surfaces. Proc. Lond. Math. Soc. 11,601–622(1961)

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. Strømme, S.A.: Ample Divisors on Fine Moduli Spaces on the Projective Plane. Math. Z. 187,405–423(1984)

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1987 Springer-Verlag

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Ellingsrud, G., Strømme, S.A. (1987). On the rationality of the moduli space for stable rank-2 vector bunoles on P2 . In: Greuel, GM., Trautmann, G. (eds) Singularities, Representation of Algebras, and Vector Bundles. Lecture Notes in Mathematics, vol 1273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078854

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  • DOI: https://doi.org/10.1007/BFb0078854

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18263-4

  • Online ISBN: 978-3-540-47851-5

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