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Stability of Elliptic Tails

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Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Elliptic Tails
  • Elliptic Curve
  • Basic Inequality
  • Complete Results
  • Algebraic Geometry

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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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© 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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