In this paper we compute the Hilbert function and the Hilbert polynomial of the projective closure of a set of lines in the affine space (Formula presented.), which are parallel to the coordinate axes and pass through a lattice of points. These results generalize those of Guida and Orecchia (J Pure Appl Algebra 208:603–615, 2007).
On the computation of the Hilbert polynomial of lines using the conductor of some local rings / Guida, M.; Orecchia, F.. - In: RICERCHE DI MATEMATICA. - ISSN 1827-3491. - 63:2(2014), pp. 329-334. [10.1007/s11587-014-0184-x]
On the computation of the Hilbert polynomial of lines using the conductor of some local rings
Guida M.;Orecchia F.
2014
Abstract
In this paper we compute the Hilbert function and the Hilbert polynomial of the projective closure of a set of lines in the affine space (Formula presented.), which are parallel to the coordinate axes and pass through a lattice of points. These results generalize those of Guida and Orecchia (J Pure Appl Algebra 208:603–615, 2007).File in questo prodotto:
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