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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))

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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© 2014 Springer International Publishing Switzerland

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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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