P1 x P1 x P2 x Gr(2,4) – Fano fourfolds

Ambient: ℙ¹P1 × ℙ¹P1 × ℙ²P2 × Gr(2, 4) `112031`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-182-43-a	$E^{ω_{4} + ω_{6}} \oplus E^{ω_{2} + ω_{6}} \oplus E^{ω_{1} + ω_{3}}$ E^(w4 + w6) + E^(w2 + w6) + E^(w1 + w3)	4	0	0	10	43	182	-4
4-172-41-b	$E^{ω_{6}} \oplus E^{ω_{3} + ω_{6}} \oplus E^{ω_{2} + ω_{6}} \oplus E^{ω_{1} + ω_{3}}$ E^(w6) + E^(w3 + w6) + E^(w2 + w6) + E^(w1 + w3)	4	0	0	10	41	172	-4