P1 x Fl(1,2,4) – Fano fourfolds

Ambient: ℙ¹P1 × Fl(1, 2, 4) `132`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-304-66-a	$E^{ω_{2}} \oplus E^{ω_{1} + ω_{3}}$ E^(w2) + E^(w1 + w3)	3	0	0	6	66	304	4
3-104-28-a	$E^{ω_{2}} \oplus E^{ω_{1} + 2 ω_{3}}$ E^(w2) + E^(w1 + 2w3)	3	0	1	27	28	104	-24
3-304-66-d	$E^{ω_{3}} \oplus E^{ω_{1} + ω_{2}}$ E^(w3) + E^(w1 + w2)	3	0	0	4	66	304	6
3-136-34-c	$E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w3) + E^(w1 + w2)	3	2	0	8	34	136	-8
3-272-60-g	$E^{ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(w3) + E^(w1 + w3)	3	0	0	4	60	272	4
3-120-31-d	$E^{ω_{3}} \oplus E^{ω_{1} + ω_{2} + ω_{3}}$ E^(w3) + E^(w1 + w2 + w3)	3	0	1	22	31	120	-18
3-136-34-d	$E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(w2 + w3) + E^(w1 + w3)	3	0	0	14	34	136	-12