Abstract
According to Corollary 5.6(i), if \([X \subset \mathbb{P}^{r}] \in \mathrm{Hilb}_{d}\) is Chow semistable with X connected and \(2(2g - 2) < d \leq 4(2g - 2)\), then X is quasi-wp-stable. The aim of this chapter is to investigate whether X can have elliptic tails or tacnodes with a line.
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References
D. Gieseker, Lectures on Moduli of Curves. Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 69 (Tata Institute of Fundamental Research, Bombay, 1982)
D. Hyeon, I. Morrison, Stability of tails and 4-canonical models. Math. Res. Lett. 17(4), 721–729 (2010)
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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). Elliptic Tails and Tacnodes with a Line. 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_9
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DOI: https://doi.org/10.1007/978-3-319-11337-1_9
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