P1 x P1 x P2 x P5 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ¹P1 × ℙ²P2 × ℙ⁵P5 `112050`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-192-45-b	$(E^{ω_{4} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ 2 copies of E^(w4 + w5) + E^(w1 + w2 + w5)	4	12	45	192	-6
4-182-43-b	$E^{2 ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{3}}$ E^(2w5) + E^(w4 + w5) + E^(w2 + w5) + E^(w1 + w3)	4	10	43	182	-4
4-188-44-a	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3 + w5) + E^(w4 + w5) + E^(w2 + w5) + E^(w1 + w5)	4	11	44	188	-4