Dataset Open Access

A dataset of 150000 terminal weighted projective spaces

Coates, Tom; Kasprzyk, Alexander; Veneziale, Sara

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 Dimension from the Quantum Period, Tom Coates, Alexander M. Kasprzyk, and Sara Veneziale, 2022.

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

Files (3.9 MB)
Name Size
generate_rank_1.m
md5:3ec83b9281a9cece8d6a9d9f10151315
2.7 kB Download
LICENSE
md5:65d3616852dbf7b1a6d4b53b00626032
7.0 kB Download
rank_1_dim_1.txt
md5:5ef98f395ae61e9b0cb500f403e70b34
6 Bytes Download
rank_1_dim_10.txt
md5:602a964b28031af41a7cba7614e655be
799.7 kB Download
rank_1_dim_2.txt
md5:cbb64bdaa78510af721a481ea5bcc7c4
8 Bytes Download
rank_1_dim_3.txt
md5:cef658a948f26145cfcfd1c5bfc1aa8d
70 Bytes Download
rank_1_dim_4.txt
md5:9b424f1e9608a3a0fa1800ff1f31aeb0
135.7 kB Download
rank_1_dim_5.txt
md5:3423dd60f3009232910be18af795437a
443.9 kB Download
rank_1_dim_6.txt
md5:b3cbf8fe9512a16768c4fd87fe17d790
518.3 kB Download
rank_1_dim_7.txt
md5:ce17817c7bbeb918b6d81b9149638d13
591.5 kB Download
rank_1_dim_8.txt
md5:f6cdd9be70ae4a032f81d6979c27d96e
656.9 kB Download
rank_1_dim_9.txt
md5:ba7f944d6018abaee90176d88c45f77b
720.0 kB Download
README.txt
md5:cf6dd06e39e543ecf82d6f486989aa57
900 Bytes Download
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