In this paper we compute the generators, the Hilbert function, and the Hilbert polynomial of the projective closure of affine lines which are parallel to the coordinate axes and pass through a lattice of points. We also consider the Cohen–Macaulay and seminormality property of their homogeneous coordinate ring. These lines are said to form a grid.
Algebraic properties of grids of projective lines / M., Guida; Orecchia, Ferruccio. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - STAMPA. - 208:2(2007), pp. 603-615.
Algebraic properties of grids of projective lines.
ORECCHIA, FERRUCCIO
2007
Abstract
In this paper we compute the generators, the Hilbert function, and the Hilbert polynomial of the projective closure of affine lines which are parallel to the coordinate axes and pass through a lattice of points. We also consider the Cohen–Macaulay and seminormality property of their homogeneous coordinate ring. These lines are said to form a grid.File in questo prodotto:
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