P2 x Fl(1,4,5) – Fano fourfolds

Ambient: ℙ²P2 × Fl(1, 4, 5) `2048`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-166-40-a	$E^{ω_{3} + ω_{6}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{2} + ω_{6}}$ E^(w3 + w6) + E^(w2 + w3) + E^(w2 + w6)	3	14	40	166	-12
4-172-41-f	$E^{ω_{3}} \oplus E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{6}} \oplus E^{ω_{2} + ω_{6}}$ E^(w3) + E^(2w3) + E^(w1 + w6) + E^(w2 + w6)	4	12	41	172	-6
3-151-37-b	$E^{ω_{3}} \oplus E^{ω_{3} + ω_{6}} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{6}}$ E^(w3) + E^(w3 + w6) + E^(w1 + w3) + E^(w2 + w6)	3	14	37	151	-12