P4 x P7 – Fano fourfolds – type A

Ambient: ℙ⁴P4 × ℙ⁷P7 `40700`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-110-29-b	$E^{ω_{1} + ω_{5}} \oplus E^{ω_{3} + ω_{5}}$ E^(w1 + w5) + E^(w3 + w5)	2	1	22	29	110	-21
2-104-28-a	$E^{2 ω_{5}} \oplus E^{ω_{1} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1}}$ E^(2w5) + E^(w1 + w5) + E^(w4 + w5) + E^(2w1)	2	2	30	28	104	-27
2-99-27-a	$(E^{ω_{1} + ω_{5}})^{\oplus 3} \oplus E^{ω_{4} + ω_{5}}$ 3 copies of E^(w1 + w5) + E^(w4 + w5)	2	3	39	27	99	-33