On the minimal free resolution for fat point schemes of multiplicity at most 3 in P2

• Autores: Edoardo Ballico, Monica Idà
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 7, 2008, págs. 1756-1769
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.11.009
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• Resumen

  • Let Z be a fat point scheme in supported on general points. Here we prove that if the multiplicities are at most 3 and the length of Z is sufficiently high then the number of generators of the homogeneous ideal IZ in each degree is as small as numerically possible. Since it is known that Z has maximal Hilbert function, this implies that Z has the expected minimal free resolution.