Finite Hilbert stability of (bi)canonical curves
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Altmetric Citations
Alper, Jarod; Fedorchuk, Maksym; Smyth, David
Description
We prove that a generic canonically or bicanonically embedded smooth curve has semistable mth Hilbert points for all m = 2. We also prove that a generic bicanonically embedded smooth curve has stable mth Hilbert points for all m = 3. In the canonical case, this is accomplished by proving finite Hilbert semistability of special singular curves with Gm-action, namely the canonically embedded balanced ribbon and the canonically embedded balanced double A2k+1-curve. In the bicanonical case, we...[Show more]
Collections | ANU Research Publications |
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Date published: | 2013 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/33457 |
Source: | Inventiones Mathematicae |
DOI: | 10.1007/s00222-012-0403-6 |
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01_Alper_Finite_Hilbert_stability_of_2013.pdf | 1.29 MB | Adobe PDF | Request a copy |
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