Variety information
Id
5
Rays
\(\begin{bmatrix}
1 \\ 0
\end{bmatrix}\)
,\(\begin{bmatrix}
0 \\ 1
\end{bmatrix}\)
,\(\begin{bmatrix}
-1 \\ 4
\end{bmatrix}\)
,\(\begin{bmatrix}
0 \\ -1
\end{bmatrix}\)
Max cones
\(\begin{bmatrix}
0 \\ 1
\end{bmatrix}\)
,\(\begin{bmatrix}
0 \\ 3
\end{bmatrix}\)
,\(\begin{bmatrix}
1 \\ 2
\end{bmatrix}\)
,\(\begin{bmatrix}
2 \\ 3
\end{bmatrix}\)
Weil to class group
\(\begin{bmatrix}
1 & -4 & 1 & 0 \\ 0 & 1 & 0 & 1
\end{bmatrix}\)
Dimension
2
Picard rank
2
Tags
hirzebruch surface
Description
hirzebruch surface \(\mathbb{F}_{4}\)
Metadata
| Key | Value |
|---|---|
| macaulay2_code | hirzebruchSurface 4 |