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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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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DOI: https://doi.org/10.1007/978-3-319-11337-1_12
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Online ISBN: 978-3-319-11337-1
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