Skip navigation
Skip navigation

Finite Hilbert stability of (bi)canonical curves

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]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
URI: http://hdl.handle.net/1885/33457
Source: Inventiones Mathematicae
DOI: 10.1007/s00222-012-0403-6

Download

File Description SizeFormat Image
01_Alper_Finite_Hilbert_stability_of_2013.pdf1.29 MBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator