A dataset of 150000 terminal weighted projective spaces (Q6697829)

Weighted projective spaces with at worst terminal singularities A dataset of 150000 randomly generated weighted projective spaces with at worst terminal singularities, in dimensions 1 to 10. The data consists of the plain text files rank_1_dim_N.txt where N, which is the dimension of the weighted projective space, is in the range 1 to 10. Each line of the file is a sequence of weights of length N+1. For example, the first line of rank_1_dim_4.txt is: [1,2,5,14,21] and this corresponds to the 4-dimensional weighted projective space P(1,2,5,14,21). For details, see the paper: Machine learning the dimension of a Fano variety, Tom Coates, Alexander M. Kasprzyk, and Sara Veneziale,Nature Communications, 14:5526(2023). doi:10.1038/s41467-023-41157-1 Magma code capable of generating this dataset is in the file generate_rank_1.m. If you make use of this data, please cite the above paper and the DOI for this data: doi:10.5281/zenodo.5790079