P4 x P6 – Fano fourfolds – type A

Ambient: ℙ⁴P4 × ℙ⁶P6 `40600`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-260-58-a	$E^{2 ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1}}$ E^(2w5) + E^(w4 + w5) + E^(2w1)	3	0	0	8	58	260	-2
3-90-25-b	$E^{2 ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{3 ω_{1}}$ E^(2w5) + E^(w4 + w5) + E^(3w1)	3	5	1	22	25	90	-23
2-244-55-a	$(E^{ω_{1} + ω_{5}})^{\oplus 2} \oplus E^{ω_{4} + ω_{5}}$ 2 copies of E^(w1 + w5) + E^(w4 + w5)	2	0	0	10	55	244	-8
2-304-66-a	$E^{ω_{1} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1}}$ E^(w1 + w5) + E^(w4 + w5) + E^(2w1)	2	0	0	6	66	304	1
2-83-24-a	$E^{ω_{1} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1} + ω_{5}}$ E^(w1 + w5) + E^(w4 + w5) + E^(2w1 + w5)	2	0	6	59	24	83	-45
2-82-24-b	$E^{ω_{1} + 2 ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1}}$ E^(w1 + 2w5) + E^(w4 + w5) + E^(2w1)	2	0	7	64	24	82	-48
2-272-60-f	$E^{ω_{3} + ω_{5}}$ E^(w3 + w5)	2	0	0	2	60	272	3