P1 x Fl(1,2,6) x P2 – Fano fourfolds

Ambient: ℙ¹P1 × Fl(1, 2, 6) × ℙ²P2 `12052`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-283-62-a	$E^{ω_{2} + ω_{7}} \oplus E^{ω_{3} + ω_{8}} \oplus E^{ω_{6}} \oplus E^{ω_{1} + ω_{3}}$ E^(w2 + w7) + E^(w3 + w8) + E^(w6) + E^(w1 + w3)	4	8	62	283	4
4-288-63-b	$E^{ω_{3} + ω_{7}} \oplus E^{ω_{3} + ω_{8}} \oplus E^{ω_{6}} \oplus E^{ω_{1} + ω_{2}}$ E^(w3 + w7) + E^(w3 + w8) + E^(w6) + E^(w1 + w2)	4	7	63	288	5
4-277-61-b	$E^{ω_{3} + ω_{8}} \oplus E^{ω_{6}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{7}}$ E^(w3 + w8) + E^(w6) + E^(w2 + w3) + E^(w1 + w7)	4	8	61	277	3