P2 x P2 x Fl(1,3,5) – Fano fourfolds

Ambient: ℙ²P2 × ℙ²P2 × Fl(1, 3, 5) `202044`

3 families with a presentation in this ambient variety. ← back to list

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-368-78-a	$E^{ω_{8}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{2} + ω_{8}}$ E^(w8) + E^(w4 + w5) + E^(w2 + w8)	3	5	78	368	9
4-305-66-a	$(E^{ω_{5}})^{\oplus 2} \oplus E^{ω_{3} + ω_{8}} \oplus E^{ω_{2} + ω_{8}}$ 2 copies of E^(w5) + E^(w3 + w8) + E^(w2 + w8)	4	8	66	305	6
3-224-51-e	$E^{ω_{8}} \oplus (E^{ω_{3} + ω_{5}})^{\oplus 2} \oplus E^{ω_{2} + ω_{8}}$ E^(w8) + 2 copies of E^(w3 + w5) + E^(w2 + w8)	3	5	51	224	0