Algebraic properties of grids of projective lines |
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Authors: | M Guida |
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Institution: | Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Complesso Universitario di Monte S. Angelo, Via Cintia, 80126 Napoli, Italy |
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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. |
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Keywords: | 14Q05 |
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