P1 x Fl(1,2,6) – Fano fourfolds

Ambient: ℙ¹P1 × Fl(1, 2, 6) `152`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-346-74-a	$E^{ω_{6}} \oplus E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{2}}$ E^(w6) + E^(2w3) + E^(w1 + w2)	3	0	0	4	74	346	8
3-141-35-d	$E^{ω_{6}} \oplus E^{3 ω_{3}} \oplus E^{ω_{1} + ω_{2}}$ E^(w6) + E^(3w3) + E^(w1 + w2)	3	5	0	9	35	141	-12
4-230-52-g	$E^{ω_{3}} \oplus E^{ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ E^(w3) + E^(w4) + E^(w1 + w2)	4	0	0	8	52	230	1
3-330-71-a	$E^{ω_{6}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(w6) + E^(w2 + w3) + E^(w1 + w3)	3	0	0	6	71	330	5
3-151-37-c	$E^{ω_{6}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + 2 ω_{3}}$ E^(w6) + E^(w2 + w3) + E^(w1 + 2w3)	3	0	0	17	37	151	-15
3-368-78-b	$E^{ω_{6}} \oplus E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(w6) + E^(2w3) + E^(w1 + w3)	3	0	0	4	78	368	10
3-150-37-a	$E^{ω_{6}} \oplus E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{2} + ω_{3}}$ E^(w6) + E^(2w3) + E^(w1 + w2 + w3)	3	0	1	22	37	150	-18
3-134-34-a	$E^{ω_{6}} \oplus E^{ω_{2} + 2 ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(w6) + E^(w2 + 2w3) + E^(w1 + w3)	3	0	1	28	34	134	-25