A dataset of 200000 terminal toric varieties of Picard rank 2

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