P2 x P4 – Fano fourfolds – type A

Ambient: ℙ²P2 × ℙ⁴P4 `2040`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-513-105-a	$E^{ω_{2} + ω_{3}}$ E^(w2 + w3)	2	0	0	3	105	513	18
2-113-30-a	$E^{ω_{2} + 2 ω_{3}}$ E^(w2 + 2w3)	2	5	0	3	30	113	-12
2-112-30-a	$E^{2 ω_{3}} \oplus E^{ω_{1} + 2 ω_{3}}$ E^(2w3) + E^(w1 + 2w3)	2	0	0	18	30	112	-23
2-176-42-a	$E^{2 ω_{3}} \oplus E^{2 ω_{1} + ω_{3}}$ E^(2w3) + E^(2w1 + w3)	2	0	0	10	42	176	-11
2-40-15-a	$E^{2 ω_{3}} \oplus E^{2 ω_{1} + 2 ω_{3}}$ E^(2w3) + E^(2w1 + 2w3)	2	0	15	108	15	40	-65
2-96-27-a	$E^{3 ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(3w3) + E^(w1 + w3)	2	5	0	5	27	96	-16
2-42-15-a	$E^{3 ω_{3}} \oplus E^{2 ω_{1} + ω_{3}}$ E^(3w3) + E^(2w1 + w3)	2	5	3	35	15	42	-31
2-351-75-a	$(E^{ω_{1} + ω_{3}})^{\oplus 2}$ 2 copies of E^(w1 + w3)	2	0	0	3	75	351	6
2-160-39-a	$E^{ω_{1} + ω_{3}} \oplus E^{ω_{1} + 2 ω_{3}}$ E^(w1 + w3) + E^(w1 + 2w3)	2	0	1	22	39	160	-21
2-35-14-a	$E^{ω_{1} + ω_{3}} \oplus E^{ω_{1} + 3 ω_{3}}$ E^(w1 + w3) + E^(w1 + 3w3)	2	0	16	117	14	35	-71
2-41-15-a	$(E^{ω_{1} + 2 ω_{3}})^{\oplus 2}$ 2 copies of E^(w1 + 2w3)	2	0	10	83	15	41	-54