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On the construction of rational surfaces with assigned singularities

Part of the Lecture Notes in Mathematics book series (LNM,volume 997)

Keywords

  • Elliptic Curve
  • Normal Bundle
  • Double Point
  • Algebraic Surface
  • Rational Surface

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References

  1. Artin, M.: Some numerical criteria for contractability of curves on algebraic surfaces, Am. J. Math. 64, 1962, 485–496

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Coolidge J.: A treatise on algebraic plane curves, Dover books in Adv. Math, New York, 1959

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  3. Enriques, F. and Chisini, O.: Teoria geometrica delle equazioni e delle funżioni algebriche, Zanichelli, Bologna, 1934

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  4. Franchetta, A: Sui punti doppi isolati delle superfici algebriche, Note I e II, Rend. Acc. dei Lincei, 1946

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  5. Franchetta, A.: Osservażioni sui punti doppi isolati delle superfici algebriche, Rend. Mat. e Appl., 1946

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  6. Hartshorne, R.: Algebraic Geometry, Springer-Verlag, New York, 1977

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  7. Laufer, H.: Normal two-dimensional singularities, Ann. Math. Stud., Princeton University Press, Princeton, 1971

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© 1983 Springer-Verlag

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Greco, S., Vistoli, A. (1983). On the construction of rational surfaces with assigned singularities. In: Ciliberto, C., Ghione, F., Orecchia, F. (eds) Algebraic Geometry — Open Problems. Lecture Notes in Mathematics, vol 997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061645

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  • DOI: https://doi.org/10.1007/BFb0061645

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12320-0

  • Online ISBN: 978-3-540-40047-9

  • eBook Packages: Springer Book Archive