P5 x Gr(2,4) – Fano fourfolds

Ambient: ℙ⁵P5 × Gr(2, 4) `3150`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-272-60-a	$E^{ω_{7}} \oplus (E^{ω_{1} + ω_{6}})^{\oplus 2}$ E^(w7) + 2 copies of E^(w1 + w6)	2	0	4	60	272	1
2-101-27-a	$(E^{ω_{1} + ω_{6}})^{\oplus 2} \oplus E^{ω_{1} + ω_{7}}$ 2 copies of E^(w1 + w6) + E^(w1 + w7)	2	1	23	27	101	-21
2-90-25-a	$E^{ω_{7}} \oplus E^{ω_{1} + ω_{6}} \oplus E^{ω_{1} + ω_{7}} \oplus E^{2 ω_{1}}$ E^(w7) + E^(w1 + w6) + E^(w1 + w7) + E^(2w1)	2	1	24	25	90	-23
2-100-27-c	$E^{ω_{1} + ω_{6}} \oplus E^{ω_{1} + ω_{7}} \oplus E^{ω_{1} + ω_{8}}$ E^(w1 + w6) + E^(w1 + w7) + E^(w1 + w8)	2	1	24	27	100	-23