In this paper we prove that the union Y of the second infinitesimal neighbourhoods of n generic points in the projective plane is minimally generated for any n but n = 2,3,5. This, together with the maximality of the Hilbert function, gives the graded Betti numbers for the homogeneous ideal of Y.
GIMIGLIANO A., Idà M. (2004). The ideal resolution for 3-fat points in P2. JOURNAL OF PURE AND APPLIED ALGEBRA, 187, 99-128 [10.1016/j.jpaa.2003.07.002].
The ideal resolution for 3-fat points in P2.
GIMIGLIANO, ALESSANDRO;IDA', MONICA
2004
Abstract
In this paper we prove that the union Y of the second infinitesimal neighbourhoods of n generic points in the projective plane is minimally generated for any n but n = 2,3,5. This, together with the maximality of the Hilbert function, gives the graded Betti numbers for the homogeneous ideal of Y.File in questo prodotto:
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