The Atiyah-Jones conjecture for rational surfaces

• Autores: Elisabeth Gasparim
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 4, 2008, págs. 1027-1050
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.03.004
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• Resumen

  • We show that if the Atiyah�Jones conjecture holds for a surface X, then it also holds for the blow-up of X at a point. Since the conjecture is known to hold for and for ruled surfaces, it follows that the conjecture is true for all rational surfaces