In this paper we analyze the algebraic properties of some configurations of fat lines of, with different multiplicity conditions on the lines, called -fat complete grids of type. We study the connection of these grids of lines with liftings of monomial ideals, we explicitly describe the generators of the ideal defining these grids, we study the Cohen-Macaulay property and the syzygy modules of these configurations of fat lines.
Algebraic properties of some configurations of fat lines / Guida, Margherita. - In: APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. - ISSN 0938-1279. - (2026). [10.1007/s00200-025-00715-4]
Algebraic properties of some configurations of fat lines
Guida, Margherita
2026
Abstract
In this paper we analyze the algebraic properties of some configurations of fat lines of, with different multiplicity conditions on the lines, called -fat complete grids of type. We study the connection of these grids of lines with liftings of monomial ideals, we explicitly describe the generators of the ideal defining these grids, we study the Cohen-Macaulay property and the syzygy modules of these configurations of fat lines.File in questo prodotto:
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