Limit linear series: basic theory. Eisenbud, D. & Harris, J. Invent. Math., 85(2):337–371, 1986.
doi  bibtex   
@Article{	  eis.har:86,
  author	= {Eisenbud, David and Harris, Joe},
  title		= {Limit linear series: basic theory},
  journal	= {Invent. Math.},
  fjournal	= {Inventiones Mathematicae},
  volume	= {85},
  year		= {1986},
  number	= {2},
  pages		= {337--371},
  issn		= {0020-9910},
  doi		= {10.1007/BF01389094}
}

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