Fl(2,4,8) – Fano fourfolds – type A

Ambient: Fl(2, 4, 8) `709`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-513-105-a	$(E^{ω_{3}})^{\oplus 2} \oplus (E^{ω_{7}})^{\oplus 3}$ 2 copies of E^(w3) + 3 copies of E^(w7)	2	0	0	3	105	513	18
2-351-75-a	$(E^{ω_{2}})^{\oplus 2} \oplus E^{ω_{3}} \oplus (E^{ω_{7}})^{\oplus 3}$ 2 copies of E^(w2) + E^(w3) + 3 copies of E^(w7)	2	0	0	3	75	351	6
2-512-105-a	$(E^{ω_{1}})^{\oplus 3} \oplus E^{2 ω_{7}}$ 3 copies of E^(w1) + E^(2w7)	2	0	0	2	105	512	18
2-256-57-b	$(E^{ω_{7}})^{\oplus 3} \oplus E^{2 ω_{1}} \oplus E^{2 ω_{4}}$ 3 copies of E^(w7) + E^(2w1) + E^(2w4)	2	2	0	2	57	256	0
2-177-42-b	$(E^{ω_{2}})^{\oplus 2} \oplus (E^{ω_{7}})^{\oplus 3} \oplus E^{ω_{1} + ω_{4}}$ 2 copies of E^(w2) + 3 copies of E^(w7) + E^(w1 + w4)	2	0	0	11	42	177	-11
2-160-39-e	$E^{ω_{2}} \oplus E^{ω_{3}} \oplus (E^{ω_{7}})^{\oplus 3} \oplus E^{ω_{2} + ω_{4}}$ E^(w2) + E^(w3) + 3 copies of E^(w7) + E^(w2 + w4)	2	0	1	22	39	160	-21
2-176-42-d	$(E^{ω_{2}})^{\oplus 3} \oplus (E^{ω_{7}})^{\oplus 3} \oplus E^{2 ω_{4}}$ 3 copies of E^(w2) + 3 copies of E^(w7) + E^(2w4)	2	0	0	10	42	176	-11