We study the multigraded Hilbert function of general configurations of lines in multiprojective spaces. In several cases we prove that this multigraded Hilbert function is the expected one. We make conjectures about other configurations and for small genus curves with a prescribed multidegree.
On the multigraded Hilbert function of lines and rational curves in multiprojective spaces / Ballico, Edoardo. - In: VIETNAM JOURNAL OF MATHEMATICS. - ISSN 2305-221X. - STAMPA. - 51:(2023), pp. 435-449. [10.1007/s10013-021-00537-0]
On the multigraded Hilbert function of lines and rational curves in multiprojective spaces
Ballico, Edoardo
2023-01-01
Abstract
We study the multigraded Hilbert function of general configurations of lines in multiprojective spaces. In several cases we prove that this multigraded Hilbert function is the expected one. We make conjectures about other configurations and for small genus curves with a prescribed multidegree.File in questo prodotto:
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