The role of the cotangent bundle in resolving ideals of fat points in the plane

• Autores: A. Gimigliano, Brian Harbourne, Monica Idà
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 2, 2009, págs. 203-214
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.06.009
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• Resumen

  • We study the connection between the generation of a fat point scheme supported at general points in P2 and the behaviour of the cotangent bundle with respect to some rational curves particularly relevant for the scheme. We put forward two conjectures, giving examples and partial results in support of them.