P1 x P1 x P2 x P2 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ¹P1 × ℙ²P2 × ℙ²P2 `112020`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-240-54-b	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{3} + ω_{5}}$ E^(w2 + w5) + E^(w1 + w3 + w5)	4	9	54	240	0
4-132-33-a	$E^{ω_{3} + 2 ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{3}}$ E^(w3 + 2w5) + E^(w1 + w2 + w3)	4	12	33	132	-6
4-114-30-a	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + 2 ω_{3} + ω_{5}}$ E^(w2 + w5) + E^(w1 + 2w3 + w5)	4	21	30	114	-18
4-126-32-a	$E^{ω_{2} + ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{3} + ω_{5}}$ E^(w2 + w3 + w5) + E^(w1 + w3 + w5)	4	17	32	126	-12