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".
Catalisano M.V., Gimigliano A. (1994). On curvilinear subschemes of P2. JOURNAL OF PURE AND APPLIED ALGEBRA, 93(1), 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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