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Quintics with three triple points, sextics with five and degenerations

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Abstract

The note determines the possible limit surfaces in a one-parameter family of quintics with three non-aligned, or sextics with five non-coplanar triple points. The geometry of a general degenerate quintic is also investigated.

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References

  1. Alexander, J., Hirschowitz, A.: An asymptotic vanishing theorem for generic unions of multiple points. Invent. Math. 140 (2), 303–325 (2000)

    Article  Google Scholar 

  2. Endrass, S., Persson, U., Stevens, J.: Surfaces with triple points. J. Algebraic Geom. 12 (2), 367–404 (2003)

    Google Scholar 

  3. Griffiths, PH., Harris, J.: Principles of Algebraic Geometry. J. Wiley and Sons, New York 1978

  4. Hartshorne, R.: Algebraic Geometry. Graduate Texts in Mathematics 52, Springer-Verlag, New-York, 1977

  5. Hirschowitz, A.: La méthode d’Horace pour l’interpolation à plusieurs variables. Manuscripta Math. 50, 337–388 (1985)

    Article  Google Scholar 

  6. Kodaira, K.: On stability of compact complex manifolds. Amer. J. Math. 85, 79–84 (1963)

    Google Scholar 

  7. Persson, U.: On degenerations of algebraic surfaces. Memoirs of the A.M.S. 189, (1977)

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Correspondence to Daniel Naie.

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Naie, D. Quintics with three triple points, sextics with five and degenerations. manuscripta math. 117, 153–171 (2005). https://doi.org/10.1007/s00229-005-0550-9

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  • DOI: https://doi.org/10.1007/s00229-005-0550-9

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