Finite Hilbert stability of (bi)canonical curves. Alper, J., Fedorchuk, M., & Smyth, D. I. Invent. Math., 191(3):671–718, 2013.
doi  bibtex   
@Article{	  alp.fed.smy:13,
  author	= {Alper, Jarod and Fedorchuk, Maksym and Smyth, David
		  Ishii},
  doi		= {10.1007/s00222-012-0403-6},
  fjournal	= {Inventiones Mathematicae},
  issn		= {0020-9910},
  journal	= {Invent. Math.},
  number	= {3},
  pages		= {671--718},
  title		= {Finite {H}ilbert stability of (bi)canonical curves},
  volume	= {191},
  year		= {2013},
  bdsk-url-1	= {http://dx.doi.org/10.1007/s00222-012-0403-6}
}

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