Abstract
We study the problem of describing the cone of the effective divisors in the second symmetric product of a curve with general moduli using a degeneration to a rational g-nodal curve.
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References
Arbarello, E., Cornalba, M., Griffiths, Ph. and Harris, J.: Geometry of Algebraic Curves, I, Springer-Verlag, 1985.
Eisenbud, D. and Harris, J.: Limit linear series: Basic theory, Invent. Math. 85 (1986), 337-371.
Franchetta, A.: Sulla superficie delle coppie non ordinate di punti di una curva algebrica, a moduli generali, Rend. Mat. Appl. 7(5) (1948), 327, 367.
Griffith, Ph. and Harris, J.: Principles of Algebraic Geometry, J. Wiley, 1978.
Hartshorne, R.: Algebraic Geometry, Springer-Verlag, New York, 1977.
Kouvidakis, A.: Divisors on symmetric products of curves, Trans. Amer. Math. Soc. 337(1) (1993), 117-128.
Nagata, M.: On the fourteenth problem of Hilbert, Amer. J. Math. 81 (1959), 766-772.
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Ciliberto, C., Kouvidakis, A. On the Symmetric Product of a Curve with General Moduli. Geometriae Dedicata 78, 327–343 (1999). https://doi.org/10.1023/A:1005280023724
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DOI: https://doi.org/10.1023/A:1005280023724