Abstract
For any d > 2(2g − 2), consider the open and closed subscheme \(\mathrm{Ch}^{-1}(\mathrm{Chow}_{d}^{\mathit{ss}})^{o}\) of the Chow-semistable locus \(\mathrm{Ch}^{-1}(\mathrm{Chow}_{d}^{\mathit{ss}}) \subset \mathrm{ Hilb}_{d}\) consisting of connected curves, see (10.1). From now on, in order to shorten the notation, we set
and we call H d the main component of the Chow-semistable locus.
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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). Geometric Properties of the GIT Quotient. 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_14
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