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.
Keywords
- Hilbert-Mumford Criterion
- Parabolic Group
- Single Point
- flat Limit
- Important Remark
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-11337-1_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11336-4
Online ISBN: 978-3-319-11337-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
