P2 x P2 x Gr(2,4) – Fano fourfolds

Ambient: ℙ²P2 × ℙ²P2 × Gr(2, 4) `202031`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-146-36-b	$E^{ω_{3} + ω_{6}} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{6}}$ E^(w3 + w6) + E^(w1 + w3) + E^(w2 + w6)	3	0	0	12	36	146	-10
2-352-75-d	$E^{ω_{4} + ω_{6}} \oplus E^{ω_{1} + ω_{4}}$ E^(w4 + w6) + E^(w1 + w4)	2	0	0	4	75	352	6