We study the postulation of a general union Y of double, triple, quartuple and quintuple points of P3. In characteristic 0, we prove that Y has good postulation in degree d⩾11. The proof is based on the combination of the Horace differential lemma with a computer-assisted proof. We also classify the exceptions in degree 9 and 10.
Postulation of general quintuple fat point schemes in P3 / Ballico, Edoardo; M. C., Brambilla; F., Caruso; Sala, Massimiliano. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 363:(2012), pp. 113-139. [10.1016/j.jalgebra.2012.03.022]
Postulation of general quintuple fat point schemes in P3
Ballico, Edoardo;Sala, Massimiliano
2012-01-01
Abstract
We study the postulation of a general union Y of double, triple, quartuple and quintuple points of P3. In characteristic 0, we prove that Y has good postulation in degree d⩾11. The proof is based on the combination of the Horace differential lemma with a computer-assisted proof. We also classify the exceptions in degree 9 and 10.File in questo prodotto:
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