P1 x P5 – Fano fourfolds – type A

Ambient: ℙ¹P1 × ℙ⁵P5 `150`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-378-80-a	$E^{2 ω_{2}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w2) + E^(w1 + w2)	2	0	4	80	378	7
2-144-36-b	$E^{3 ω_{2}} \oplus E^{ω_{1} + ω_{2}}$ E^(3w2) + E^(w1 + w2)	2	1	28	36	144	-28
2-20-11-a	$E^{4 ω_{2}} \oplus E^{ω_{1} + ω_{2}}$ E^(4w2) + E^(w1 + w2)	2	22	162	11	20	-98
2-160-39-c	$E^{2 ω_{2}} \oplus E^{ω_{1} + 2 ω_{2}}$ E^(2w2) + E^(w1 + 2w2)	2	1	22	39	160	-21
2-26-12-a	$E^{2 ω_{2}} \oplus E^{ω_{1} + 3 ω_{2}}$ E^(2w2) + E^(w1 + 3w2)	2	20	140	12	26	-81
2-27-12-a	$E^{3 ω_{2}} \oplus E^{ω_{1} + 2 ω_{2}}$ E^(3w2) + E^(w1 + 2w2)	2	7	79	12	27	-58