Dataset from Zenodo · Venkatachalam, Thamarai Valli
Terminal Fano 3-fold hypersurfaces in rank 2 toric varieties database
- License
- CC BY 4.0commercial use allowedLicense text
- This license allows commercial use. Usually you must credit the author; read the license for the exact terms.
- Formats
- SQL, TXT
- Size
- 42 kB
- Updated
- Sep 9, 2026
Description
Terminal Fano 3-fold hypersurfaces in rank 2 toric varieties database This is the dataset which provides the list of all pairs $(\mathbb{F},\mathcal{O}(d))$ such that 1. $\mathbb{F}$ is a simplicial, projective, torsion-free, rank $2$ toric $4$-fold. 2. $d\in \mathbb{Z}^2$ such that the general element $X d$ in the linear system $|\mathcal{O}(d)|$ is a nef hypersurface which is not a linear cone. 3. $(\mathbb{F},X {d})$ is a Fano and terminal pair. For details see [V26]. For each entry, the essential characteristic data is the weight matrix $A$ and degree of hypersurface $d$; everything else follows (with the exception of the ID). $X$ refers to a general hypersurface of degree $d$ in the toric variety $\mathbb{F}$ given by weight matrix $A$ and character $\chi$. Brief description of an entry id: a unique integer ID for this entry, weight matrix: 2 6 integer matrix A describing a toric variety F as a GIT quotient of C^6 by (C )^2, degree of hypersurface: degree d of the hypersurface in the toric variety given by A, character: Character chi to be taken for GIT quotient of the toric variety, basket: multiset of quotient singularities, genus: h^0(X,-K)-2, codimension: GRDB codimension…
Description from Zenodo, shortened.
Files (2)
DataHunter does not store or host these files: every link leads to the original source. Check the license there before using the data.