Abstract
Let \([X \subset \mathbb{P}^{r}]\) be a Chow semistable point of Hilb d with X connected and d > 2(2g − 2). Note that X is a quasi-wp-stable curve by Corollary 5.6(i), \(L:= \mathcal{O}_{X}(1)\) is balanced and X is non-degenerate and linearly normal in ∖mathbbP r by the Potential pseudo-stability Theorem 5.1.
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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). Stabilizer Subgroups. 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_6
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DOI: https://doi.org/10.1007/978-3-319-11337-1_6
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