The generic Green-Lazarsfeld secant conjecture. Farkas, G. & Kemeny, M. Invent. Math., 203(1):265–301, 2016.
The generic Green-Lazarsfeld secant conjecture [link]Paper  doi  bibtex   
@Article{	  far.kem:16,
  author	= {Farkas, Gavril and Kemeny, Michael},
  title		= {The generic {G}reen-{L}azarsfeld secant conjecture},
  journal	= {Invent. Math.},
  fjournal	= {Inventiones Mathematicae},
  volume	= {203},
  year		= {2016},
  number	= {1},
  pages		= {265--301},
  issn		= {0020-9910},
  doi		= {10.1007/s00222-015-0595-7},
  url		= {http://dx.doi.org/10.1007/s00222-015-0595-7}
}

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