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Stability of Elliptic Tails

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Geometric Invariant Theory for Polarized Curves

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2122))

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Abstract

In this chapter, we will use the criterion of stability for tails (Proposition 8.3) in order to study the stability of elliptic curves for \(\frac{7} {2}(2g - 2) < d \leq 4(2g - 2)\). We notice that in this range—by the basic inequality (3.1)—it suffices to consider the elliptic curves of degree 4.

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References

  1. D. Hyeon, I. Morrison, Stability of tails and 4-canonical models. Math. Res. Lett. 17(4), 721–729 (2010)

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Authors and Affiliations

  1. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Milano, Italy

    Gilberto Bini

  2. Dipartimento di Matematica e Fisica, Università degli Studi di Roma Tre, Rome, Italy

    Fabio Felici & Filippo Viviani

  3. Departamento de Matemática, Universidade de Coimbra, Coimbra, Portugal

    Margarida Melo

Authors
  1. Gilberto Bini
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  2. Fabio Felici
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  3. Margarida Melo
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  4. Filippo Viviani
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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). Stability of Elliptic Tails. In: Geometric Invariant Theory for Polarized Curves. Lecture Notes in Mathematics, vol 2122. Springer, Cham. https://doi.org/10.1007/978-3-319-11337-1_12

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