Fano threefolds with $\rho=8$
| ID | $-\mathrm{K}_X^3$ | $\mathrm{h}^{1,2}$ | description | blowups | blowdowns | rational | unirational | moduli | $\mathrm{Aut}^0$ |
|---|---|---|---|---|---|---|---|---|---|
| 8-1 | 18 | 0 | $\mathbb{P}^1\times\mathrm{Bl}_6\mathbb{P}^2$ | * | 7-1 | yes | yes | 4 | $\mathrm{PGL}_2$ |
A tool to visually study the geography of Fano 3-folds.
| ID | $-\mathrm{K}_X^3$ | $\mathrm{h}^{1,2}$ | description | blowups | blowdowns | rational | unirational | moduli | $\mathrm{Aut}^0$ |
|---|---|---|---|---|---|---|---|---|---|
| 8-1 | 18 | 0 | $\mathbb{P}^1\times\mathrm{Bl}_6\mathbb{P}^2$ | * | 7-1 | yes | yes | 4 | $\mathrm{PGL}_2$ |