P5 x P7 – Fano fourfolds – type A

Ambient: ℙ⁵P5 × ℙ⁷P7 `50700`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-120-31-e	$E^{2 ω_{6}} \oplus E^{ω_{5} + ω_{6}} \oplus (E^{2 ω_{1}})^{\oplus 2}$ E^(2w6) + E^(w5 + w6) + 2 copies of E^(2w1)	3	2	1	22	31	120	-20
2-114-30-c	$(E^{ω_{1} + ω_{6}})^{\oplus 2} \oplus E^{ω_{5} + ω_{6}} \oplus E^{2 ω_{1}}$ 2 copies of E^(w1 + w6) + E^(w5 + w6) + E^(2w1)	2	0	2	32	30	114	-29