Terminal Fano 3-fold hypersurfaces in rank 2 toric varieties database

Descripción

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…

Descripción de Zenodo, abreviada.

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• SQLmain_table.sql39 kB
• TXTREADME.txt2,5 kB

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