P1 x P2 x P3 x P3 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ²P2 × ℙ³P3 × ℙ³P3 `1203030`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-384-81-b	$E^{ω_{3} + ω_{7}} \oplus E^{ω_{3} + ω_{4}} \oplus E^{ω_{1} + ω_{7}}$ E^(w3 + w7) + E^(w3 + w4) + E^(w1 + w7)	4	6	81	384	12
4-202-47-a	$E^{ω_{3} + ω_{7}} \oplus E^{ω_{3} + ω_{4}} \oplus E^{ω_{1} + ω_{4} + ω_{7}}$ E^(w3 + w7) + E^(w3 + w4) + E^(w1 + w4 + w7)	4	12	47	202	-6
5-230-52-b	$E^{ω_{4} + ω_{8}} \oplus E^{ω_{2} + ω_{7}} \oplus E^{ω_{1} + ω_{2}}$ E^(w4 + w8) + E^(w2 + w7) + E^(w1 + w2)	5	10	52	230	2