Here we show the existence of strong restrictions for the Hilbert function of zerodimensional curvilinear subschemes of P n with one point as support and with high regularity index.
@article{bwmeta1.element.doi-10_2478_BF02475184, author = {E. Ballico and R. Notari and M. Spreafico}, title = {On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces}, journal = {Open Mathematics}, volume = {1}, year = {2003}, pages = {644-649}, zbl = {1080.14544}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475184} }
E. Ballico; R. Notari; M. Spreafico. On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces. Open Mathematics, Tome 1 (2003) pp. 644-649. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475184/
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