P1 x P1 x Fl(1,3,4) – Fano fourfolds

Ambient: ℙ¹P1 × ℙ¹P1 × Fl(1, 3, 4) `1134`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-172-41-d	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3 + w5) + E^(w2 + w3) + E^(w1 + w5)	4	12	41	172	-6
5-168-40-b	$E^{ω_{3}} \oplus E^{2 ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{3}}$ E^(w3) + E^(2w5) + E^(w1 + w2 + w3)	5	12	40	168	-2
5-188-44-d	$E^{2 ω_{3}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(2w3) + E^(w2 + w5) + E^(w1 + w5)	5	12	44	188	-2