Green's conjecture for the generic $r$-gonal curve of genus $g≥3r-7$. Teixidor I Bigas, M. Duke Math. J., 111(2):195–222, 2002.
Green's conjecture for the generic $r$-gonal curve of genus $g≥3r-7$ [link]Paper  doi  bibtex   
@Article{	  tei-i-big:02,
  author	= {Teixidor I Bigas, Montserrat},
  title		= {Green's conjecture for the generic {$r$}-gonal curve of
		  genus {$g\geq 3r-7$}},
  journal	= {Duke Math. J.},
  fjournal	= {Duke Mathematical Journal},
  volume	= {111},
  year		= {2002},
  number	= {2},
  pages		= {195--222},
  issn		= {0012-7094},
  doi		= {10.1215/S0012-7094-02-11121-1},
  url		= {http://dx.doi.org/10.1215/S0012-7094-02-11121-1}
}

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