The Recovery of $\lambda$ from a Hilbert Polynomial
<|reference_start|>The Recovery of $\lambda$ from a Hilbert Polynomial: In the study of Hilbert schemes, the integer partition $\lambda$ helps researchers identify some geometric and combinatorial properties of the scheme in question. To aid researchers in extracting such information from a Hilbert polynomial, we describe an efficient algorithm which can identify if $p(x)\in\mathbb{Q}[x]$ is a Hilbert polynomial and if so, recover the integer partition $\lambda$ associated with it.<|reference_end|>
@article{donato2024the,
    title={The Recovery of $\lambda$ from a Hilbert Polynomial},
    author={Joseph Donato, Monica Lewis},
    journal={arXiv preprint arXiv:2405.12886},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.12886},
    primaryClass={cs.SC}
}