P3 x P5 – Fano fourfolds – type A

Ambient: ℙ³P3 × ℙ⁵P5 `3050`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-64-20-a	$E^{ω_{1} + 2 ω_{4}} \oplus E^{ω_{2} + ω_{4}}$ E^(w1 + 2w4) + E^(w2 + w4)	2	0	6	59	20	64	-44
2-192-45-d	$E^{2 ω_{4}} \oplus E^{ω_{2} + ω_{4}}$ E^(2w4) + E^(w2 + w4)	2	2	0	2	45	192	-4
2-163-40-a	$E^{ω_{1} + 2 ω_{4}} \oplus E^{ω_{3} + ω_{4}}$ E^(w1 + 2w4) + E^(w3 + w4)	2	0	1	23	40	163	-24
2-224-51-a	$E^{ω_{3} + ω_{4}} \oplus E^{2 ω_{1} + ω_{4}}$ E^(w3 + w4) + E^(2w1 + w4)	2	0	0	14	51	224	-12
2-52-18-a	$E^{ω_{3} + ω_{4}} \oplus E^{2 ω_{1} + 2 ω_{4}}$ E^(w3 + w4) + E^(2w1 + 2w4)	2	0	18	126	18	52	-77
2-240-54-d	$E^{ω_{1} + ω_{4}} \oplus E^{ω_{2} + ω_{4}}$ E^(w1 + w4) + E^(w2 + w4)	2	0	0	7	54	240	-4