Abstract
In this chapter we would like to state a criterion of stability for tails based on the Hilbert-Mumford criterion and on the parabolic group. Let \([X\hookrightarrow \mathbb{P}^{r}] \in \mathrm{Hilb}_{d}\) with d > 2(2g − 2), where X is the union of two curves X 1 and X 2 (of degrees d 1, d 2 and genus g 1, g 2) that intersect each other transversally in a single point p.
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© 2014 Springer International Publishing Switzerland
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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). A Criterion of Stability for 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_8
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DOI: https://doi.org/10.1007/978-3-319-11337-1_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11336-4
Online ISBN: 978-3-319-11337-1
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