On the existence of certain weak Fano threefolds of Picard number two

• Maxim Arap ^[1] ; Joseph Cutrone ^[2] ; Nicholas Marshburn ^[1]
  1. [1] Johns Hopkins University-USA
  2. [2] Goucher College-USA
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 120, Nº 1, 2017, págs. 68-86
• Idioma: inglés
• DOI: 10.7146/math.scand.a-25505
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• Resumen

  • This article settles the question of existence of smooth weak Fano threefolds of Picard number two with small anti-canonical map and previously classified numerical invariants obtained by blowing up certain curves on smooth Fano threefolds of Picard number 1 with the exception of 12 numerical cases.