Fl(1,2,6) – Fano fourfolds – type A

Ambient: Fl(1, 2, 6) `52`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-352-75-b	$E^{ω_{2}} \oplus E^{ω_{3}}$ E^(w2) + E^(w3)	3	0	0	4	75	352	9
3-141-35-a	$E^{ω_{3}} \oplus E^{ω_{1} + ω_{2}}$ E^(w3) + E^(w1 + w2)	3	0	1	23	35	141	-18
2-431-90-a	$E^{ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(w5) + E^(w1 + w2)	2	0	0	3	90	431	11
2-211-49-a	$E^{ω_{5}} \oplus E^{ω_{1} + 2 ω_{2}}$ E^(w5) + E^(w1 + 2w2)	2	0	1	21	49	211	-19
2-240-54-f	$E^{ω_{5}} \oplus E^{3 ω_{2}}$ E^(w5) + E^(3w2)	2	5	0	2	54	240	-4
2-141-35-b	$E^{ω_{1}} \oplus (E^{ω_{2}})^{\oplus 4}$ E^(w1) + 4 copies of E^(w2)	2	0	0	13	35	141	-14