Gr(2,6) – Fano fourfolds – type A

Ambient: Gr(2, 6) `51`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
1-42-15-a	$E^{ω_{2} + ω_{5}}$ E^(w2 + w5)	1	6	57	15	42	-42
1-33-13-a	$(E^{ω_{2}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(w2) + E^(w1 + w2)	1	8	70	13	33	-48
1-28-12-a	$(E^{ω_{2}})^{\oplus 3} \oplus E^{2 ω_{2}}$ 3 copies of E^(w2) + E^(2w2)	1	15	106	12	28	-63
2-320-69-d	$E^{ω_{2}} \oplus E^{2 ω_{1}}$ E^(w2) + E^(2w1)	2	0	6	69	320	2
1-224-51-a	$(E^{ω_{2}})^{\oplus 4}$ 4 copies of E^(w2)	1	0	8	51	224	-9