P1 x P1 x P1 x P4 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ¹P1 × ℙ¹P1 × ℙ⁴P4 `11140`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-136-34-a	$E^{2 ω_{4}} \oplus E^{ω_{3} + ω_{4}} \oplus E^{ω_{1} + ω_{2} + ω_{4}}$ E^(2w4) + E^(w3 + w4) + E^(w1 + w2 + w4)	4	14	34	136	-9
4-304-66-a	$E^{ω_{3} + ω_{4}} \oplus E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(w3 + w4) + E^(w2 + w4) + E^(w1 + w4)	4	7	66	304	6
4-125-32-a	$E^{ω_{3} + ω_{4}} \oplus E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + 2 ω_{4}}$ E^(w3 + w4) + E^(w2 + w4) + E^(w1 + 2w4)	4	18	32	125	-14