Gr(2,5) – Fano fourfolds – type A

Ambient: Gr(2, 5) `41`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
1-192-45-a	$E^{ω_{1} + ω_{2}}$ E^(w1 + w2)	1	0	12	45	192	-15
1-405-85-a	$(E^{ω_{2}})^{\oplus 2}$ 2 copies of E^(w2)	1	0	2	85	405	8
1-160-39-a	$E^{ω_{2}} \oplus E^{2 ω_{2}}$ E^(w2) + E^(2w2)	1	1	22	39	160	-24
1-15-9-a	$E^{ω_{2}} \oplus E^{3 ω_{2}}$ E^(w2) + E^(3w2)	1	41	232	9	15	-109
1-20-10-a	$(E^{2 ω_{2}})^{\oplus 2}$ 2 copies of E^(2w2)	1	20	132	10	20	-72