P1 x P2 x Fl(1,3,4) – Fano fourfolds

Ambient: ℙ¹P1 × ℙ²P2 × Fl(1, 3, 4) `12034`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-214-49-c	$E^{ω_{2} + ω_{4}} \oplus E^{ω_{3} + ω_{6}} \oplus E^{ω_{1} + ω_{4}}$ E^(w2 + w4) + E^(w3 + w6) + E^(w1 + w4)	4	10	49	214	-2
4-194-45-b	$E^{ω_{4}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{6}}$ E^(w4) + E^(w2 + w5) + E^(w1 + w6)	4	9	45	194	-1
5-224-51-b	$E^{2 ω_{4}} \oplus E^{ω_{3} + ω_{6}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w4) + E^(w3 + w6) + E^(w1 + w2)	5	10	51	224	1
5-204-47-b	$E^{ω_{4}} \oplus E^{2 ω_{6}} \oplus E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ E^(w4) + E^(2w6) + E^(w2 + w4) + E^(w1 + w2)	5	10	47	204	1