P3 x P8 – Fano fourfolds – type A

Ambient: ℙ³P3 × ℙ⁸P8 `30800`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-352-75-a	$E^{ω_{1} + ω_{4}} \oplus (E^{ω_{3} + ω_{4}})^{\oplus 2}$ E^(w1 + w4) + 2 copies of E^(w3 + w4)	2	0	6	75	352	4
2-81-24-a	$E^{ω_{1} + 2 ω_{4}} \oplus (E^{ω_{3} + ω_{4}})^{\oplus 2}$ E^(w1 + 2w4) + 2 copies of E^(w3 + w4)	2	9	77	24	81	-56
2-94-26-a	$E^{2 ω_{4}} \oplus E^{ω_{2} + ω_{4}} \oplus E^{ω_{3} + ω_{4}}$ E^(2w4) + E^(w2 + w4) + E^(w3 + w4)	2	1	28	26	94	-28
2-216-50-b	$E^{2 ω_{4}} \oplus (E^{ω_{3} + ω_{4}})^{\oplus 2}$ E^(2w4) + 2 copies of E^(w3 + w4)	2	0	10	50	216	-11