P3 x Gr(2,7) – Fano fourfolds

Ambient: ℙ³P3 × Gr(2, 7) `30601`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-144-36-a	$E^{ω_{3} + ω_{4}} \oplus E^{ω_{3} + ω_{5}}$ E^(w3 + w4) + E^(w3 + w5)	2	0	17	36	144	-20
2-270-60-a	$(E^{ω_{5}})^{\oplus 3} \oplus E^{ω_{3} + ω_{4}}$ 3 copies of E^(w5) + E^(w3 + w4)	2	0	3	60	270	0
2-129-33-b	$(E^{ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{5}} \oplus E^{ω_{3} + ω_{4}}$ 2 copies of E^(w5) + E^(w1 + w5) + E^(w3 + w4)	2	1	23	33	129	-23