The Fano 3-fold database

Description

The Fano 3-fold database This is a dataset that relates to the graded (homogeneous coordinate) rings of possible algebraic varieties: complex Fano 3-folds with Fano index 1. Each entry in this dataset records the (anticanonical) Hilbert series of a possible Fano 3-fold \(X\) , along with the result of some analysis about how \(X\) may be (anticanonically) embedded in weighted projective space \(\mathbb{P}(w 1,w 2,\ldots,w s)\) . For details, see the paper [BK22], which is a companion and update to the original paper [ABR02]. If you make use of this data, please consider citing [BK22] and the DOI for this data: doi:10.5281/zenodo.5820338 The data consists of two files in key:value format, "fano3.txt" and "matchmaker.txt". The files "fano3.sql" and "matchmaker.sql" contain the same data as the key:value files, but formatted ready for inserting in sqlite. fano3.txt This file contains data that relates to the graded (homogeneous coordinate) rings of possible algebraic varieties. For each entry, the essential characteristic data is the genus and basket; everything else follows (with the exception of the ID). Briefly, this essential data determines a power series, the Hilbert series…

Description from Zenodo, shortened.

Files (6)

• SQLfano3.sql48 MB
• SQLmatchmaker.sql10 MB
• TXTREADME.txt4.8 kB
• —LICENSE6.9 kB
• TXTmatchmaker.txt22 MB
• TXTfano3.txt56 MB

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