P1 x P1 x P5 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ¹P1 × ℙ⁵P5 `1150`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-74-22-a	$E^{2 ω_{3}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + 2 ω_{3}}$ E^(2w3) + E^(w2 + w3) + E^(w1 + 2w3)	3	0	1	32	22	74	-29
3-80-23-a	$(E^{2 ω_{3}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2} + ω_{3}}$ 2 copies of E^(2w3) + E^(w1 + w2 + w3)	3	2	1	22	23	80	-20
3-256-57-b	$E^{2 ω_{3}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(2w3) + E^(w2 + w3) + E^(w1 + w3)	3	0	0	8	57	256	-1
3-63-20-a	$E^{3 ω_{3}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(3w3) + E^(w2 + w3) + E^(w1 + w3)	3	0	1	38	20	63	-36