P1 x P3 x Gr(2,6) – Fano fourfolds

Ambient: ℙ¹P1 × ℙ³P3 × Gr(2, 6) `13051`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-160-39-b	$E^{ω_{6}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{6}}$ E^(w6) + E^(w4 + w5) + E^(w1 + w2 + w6)	3	1	22	39	160	-18
3-160-39-c	$E^{2 ω_{6}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w6) + E^(w4 + w5) + E^(w1 + w2)	3	0	16	39	160	-15
3-177-42-b	$E^{ω_{2} + ω_{6}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{6}}$ E^(w2 + w6) + E^(w4 + w5) + E^(w1 + w6)	3	0	13	42	177	-10