Let Z be a curvilinear subscheme of P2, i.e. a zero-dimensional scheme whose embedding dimension at every point of their support is at most 1. We find bounds for the minimum degree of the plane curves on which Z imposes independent conditions and we show that the Hilbert function of Z is maximal for a "generic choice of Z".
On curvilinear subschemes of P2 / Catalisano M.V.; Gimigliano A.. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 93:1(1994), pp. 1-14. [10.1016/0022-4049(94)90077-9]
On curvilinear subschemes of P2
Gimigliano A.
1994
Abstract
Let Z be a curvilinear subscheme of P2, i.e. a zero-dimensional scheme whose embedding dimension at every point of their support is at most 1. We find bounds for the minimum degree of the plane curves on which Z imposes independent conditions and we show that the Hilbert function of Z is maximal for a "generic choice of Z".File in questo prodotto:
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