P2 x P7 – Fano fourfolds – type A

Ambient: ℙ²P2 × ℙ⁷P7 `20700`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-272-60-d	$E^{2 ω_{3}} \oplus (E^{ω_{2} + ω_{3}})^{\oplus 2}$ E^(2w3) + 2 copies of E^(w2 + w3)	2	0	10	60	272	-5
2-51-18-a	$E^{3 ω_{3}} \oplus (E^{ω_{2} + ω_{3}})^{\oplus 2}$ E^(3w3) + 2 copies of E^(w2 + w3)	2	13	103	18	51	-70
2-64-20-b	$(E^{2 ω_{3}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ 2 copies of E^(2w3) + E^(w1 + w3) + E^(w2 + w3)	2	3	44	20	64	-38