A dataset of 200000 terminal toric varieties of Picard rank 2

<strong>Toric varieties of Picard rank 2 with at worst terminal singularities</strong> A dataset of 200000 randomly generated toric varieties of Picard rank 2 with at worst terminal Q-factorial singularities, in dimensions 2 to 10. The data consists of the plain text files "rank_2_dim_N.txt" where N, which is the dimension of the toric variety, is in the range 2 to 10. Each line of the file specifies the entries of a (2 x N+2)-matrix. For example, the first line of "rank_2_dim_4.txt" is: [[1,3,5,4,1,0],[0,1,2,5,3,1]] and this corresponds to the 4-dimensional toric variety with weight matrix 1 3 5 4 1 0<br> 0 1 2 5 3 1 and stability condition given by the sum of the columns, which in this case is 14<br> 12 For details, see the paper: "Machine learning the dimension of a Fano variety", Tom Coates, Alexander M. Kasprzyk, and Sara Veneziale, <em>Nature Communications</em>, <strong>14:</strong>5526 (2023). doi:10.1038/s41467-023-41157-1 Magma code capable of generating this dataset is in the file "generate_rank_2.m". If you make use of this data, please cite the above paper and the DOI for this data: doi:10.5281/zenodo.5790096