The irreducibility of the spaces of rational curves on del Pezzo surfaces. Testa, D. J. Algebraic Geom., 18(1):37–61, 2009.
The irreducibility of the spaces of rational curves on del Pezzo surfaces [link]Paper  doi  bibtex   
@Article{	  tes:09,
  author	= {Testa, Damiano},
  title		= {The irreducibility of the spaces of rational curves on del
		  {P}ezzo surfaces},
  journal	= {J. Algebraic Geom.},
  fjournal	= {Journal of Algebraic Geometry},
  volume	= {18},
  year		= {2009},
  number	= {1},
  pages		= {37--61},
  issn		= {1056-3911},
  doi		= {10.1090/S1056-3911-08-00484-0},
  url		= {http://dx.doi.org.ezproxy.cul.columbia.edu/10.1090/S1056-3911-08-00484-0}
}

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