P2 x P2 x P3 – Fano fourfolds

Ambient: ℙ²P2 × ℙ²P2 × ℙ³P3 `202030`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-224-51-c	$(E^{ω_{3} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{5}}$ 2 copies of E^(w3 + w5) + E^(w1 + w5)	3	0	5	51	224	0
2-256-57-a	$E^{ω_{3} + 2 ω_{5}} \oplus E^{ω_{1} + ω_{4}}$ E^(w3 + 2w5) + E^(w1 + w4)	2	0	10	57	256	-6
3-110-29-f	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{5}} \oplus E^{ω_{1} + ω_{3} + ω_{5}}$ E^(w3 + w5) + E^(w1 + w5) + E^(w1 + w3 + w5)	3	1	24	29	110	-20
3-116-30-a	$(E^{ω_{3} + ω_{5}})^{\oplus 2} \oplus E^{2 ω_{1} + ω_{5}}$ 2 copies of E^(w3 + w5) + E^(2w1 + w5)	3	0	14	30	116	-12
3-116-30-b	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{4} + ω_{5}}$ E^(w3 + w5) + E^(w1 + w4 + w5)	3	0	17	30	116	-15