P4 x Gr(2,7) – Fano fourfolds

Ambient: ℙ⁴P4 × Gr(2, 7) `40601`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-112-30-b	$E^{ω_{6}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1} + ω_{6}}$ E^(w6) + E^(w4 + w5) + E^(2w1 + w6)	2	5	52	30	112	-42
2-128-33-b	$E^{2 ω_{6}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1}}$ E^(2w6) + E^(w4 + w5) + E^(2w1)	2	2	30	33	128	-28
2-129-33-a	$(E^{ω_{1} + ω_{6}})^{\oplus 2} \oplus E^{ω_{4} + ω_{5}}$ 2 copies of E^(w1 + w6) + E^(w4 + w5)	2	2	31	33	129	-28
2-512-105-b	$(E^{ω_{6}})^{\oplus 2} \oplus E^{ω_{4} + ω_{5}}$ 2 copies of E^(w6) + E^(w4 + w5)	2	0	2	105	512	18