Downloads provided by UsageCounts
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
Geometry, Weighted projective space
Geometry, Weighted projective space
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
| views | 37 | |
| downloads | 69 |

Views provided by UsageCounts
Downloads provided by UsageCounts