P1 x P3 x P5 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ³P3 × ℙ⁵P5 `13050`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-136-34-f	$E^{2 ω_{5}} \oplus E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w5) + E^(w3 + w5) + E^(w1 + w2)	3	2	0	8	34	136	-8
4-282-62-c	$E^{2 ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w5) + E^(w4 + w5) + E^(w1 + w2)	4	0	0	8	62	282	3
3-136-34-g	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w2 + w5) + E^(w3 + w5) + E^(w1 + w5)	3	0	0	14	34	136	-12
3-282-62-d	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w2 + w5) + E^(w4 + w5) + E^(w1 + w5)	3	0	0	6	62	282	2
3-125-32-b	$E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w4 + w5) + E^(2w2 + w5) + E^(w1 + w5)	3	0	0	21	32	125	-20
3-336-72-e	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2 + w5) + E^(w4 + w5) + E^(w1 + w2)	3	0	0	6	72	336	6
3-130-33-f	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ E^(w2 + w5) + E^(w4 + w5) + E^(w1 + w2 + w5)	3	0	1	24	33	130	-20
3-113-30-c	$E^{ω_{2} + 2 ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2 + 2w5) + E^(w4 + w5) + E^(w1 + w2)	3	0	1	30	30	113	-28