Redundant blow-ups of rational surfaces with big anticanonical divisor

• DongSeon Hwang ^[1] ; Jinhyung Park ^[2]
  1. [1] Ajou University

     Ajou University

     Corea del Sur

     
  2. [2] KAIST, Daejeon, Republic of Korea
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 12 (December 2015), 2015, págs. 5314-5329
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.05.015
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• Resumen

  • We completely classify redundant blow-ups appearing in the theory of rational surfaces with big anticanonical divisor due to Sakai. In particular, we construct a rational surface with big anticanonical divisor which is not a minimal resolution of a del Pezzo surface with only rational singularities, which gives a negative answer to a question raised in a paper by Testa, Várilly-Alvarado, and Velasco.