We study the Hilbert function of a general union X in 3-dimensional projective space of x double lines and y lines. In many cases we prove that X has maximal rank. We give a few examples of x and y for which X has not maximal rank.
The Hilbert function of general unions of lines and double lines in the projective space / Ballico, Edoardo. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 647:(2024), pp. 327-340. [10.1016/j.jalgebra.2024.02.030]
The Hilbert function of general unions of lines and double lines in the projective space
Ballico, Edoardo
2024-01-01
Abstract
We study the Hilbert function of a general union X in 3-dimensional projective space of x double lines and y lines. In many cases we prove that X has maximal rank. We give a few examples of x and y for which X has not maximal rank.File in questo prodotto:
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