P1 x P2 x Gr(2,4) – Fano fourfolds

Ambient: ℙ¹P1 × ℙ²P2 × Gr(2, 4) `12031`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-218-50-a	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3 + w5) + E^(w1 + w5)	3	0	0	6	50	218	-2
3-304-66-c	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(w3 + w5) + E^(w1 + w2)	3	0	0	6	66	304	4
3-110-29-a	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ E^(w3 + w5) + E^(w1 + w2 + w5)	3	0	1	24	29	110	-20
3-104-28-b	$E^{2 ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w5) + E^(w2 + w5) + E^(w1 + w2)	3	2	0	12	28	104	-14
3-110-29-b	$(E^{ω_{2} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{5}}$ 2 copies of E^(w2 + w5) + E^(w1 + w5)	3	0	0	18	29	110	-17