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ZENODO
Dataset . 2022
License: CC 0
Data sources: Datacite
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ZENODO
Dataset . 2022
License: CC 0
Data sources: Datacite
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A dataset of 150000 terminal weighted projective spaces

Authors: Coates, Tom; Kasprzyk, Alexander; Veneziale, Sara;

A dataset of 150000 terminal weighted projective spaces

Abstract

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

Keywords

Geometry, Weighted projective space

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selected citations
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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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