Fano threefolds with $\rho=6$
| ID | $-\mathrm{K}_X^3$ | $\mathrm{h}^{1,2}$ | description | blowups | blowdowns | rational | unirational | moduli | $\mathrm{Aut}^0$ |
|---|---|---|---|---|---|---|---|---|---|
| 6-1 | 30 | 0 | $\mathbb{P}^1\times\mathrm{Bl}_4\mathbb{P}^2$ | * | 5-3 | yes | yes | 0 | $\mathrm{PGL}_2$ |
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 | $\mathrm{Aut}^0$ |
|---|---|---|---|---|---|---|---|---|---|
| 6-1 | 30 | 0 | $\mathbb{P}^1\times\mathrm{Bl}_4\mathbb{P}^2$ | * | 5-3 | yes | yes | 0 | $\mathrm{PGL}_2$ |