Gr(2,4) x Gr(2,5) – Fano fourfolds

Ambient: Gr(2, 4) × Gr(2, 5) `3141`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
6-172-40-a	$E^{ω_{1} + ω_{6}}$ E^(w1 + w6)	6	17	40	172	0
1-512-105-a	$E^{ω_{1} + ω_{7}}$ E^(w1 + w7)	1	2	105	512	15
2-146-36-d	$E^{ω_{1} + ω_{4}} \oplus E^{ω_{3} + ω_{5}}$ E^(w1 + w4) + E^(w3 + w5)	2	14	36	146	-15
2-126-32-c	$(E^{ω_{5}})^{\oplus 3} \oplus E^{ω_{2} + ω_{7}}$ 3 copies of E^(w5) + E^(w2 + w7)	2	10	32	126	-11