On the Cox ring of P2 blown up in points on a line

• Autores: John Christian Ottem
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 109, Nº 1, 2011, págs. 22-30
• Idioma: inglés
• DOI: 10.7146/math.scand.a-15175
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• Resumen

  • We show that the blow-up of P2 in n points on a line has finitely generated Cox ring. We give explicit generators for the ring and calculate its defining ideal of relations.