P2 x P2 x Gr(2,5) – Fano fourfolds

Ambient: ℙ²P2 × ℙ²P2 × Gr(2, 5) `202041`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-406-85-a	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{2} + ω_{5}}$ E^(w3 + w5) + E^(w2 + w5)	3	5	85	406	12
3-305-66-a	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{2} + ω_{6}}$ E^(w4 + w5) + E^(w2 + w6)	3	5	66	305	6
3-183-43-c	$(E^{ω_{6}})^{\oplus 2} \oplus E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ 2 copies of E^(w6) + E^(w3 + w5) + E^(w1 + w5)	3	8	43	183	-4
3-288-63-f	$E^{ω_{6}} \oplus E^{ω_{3} + ω_{6}} \oplus E^{ω_{2} + ω_{5}}$ E^(w6) + E^(w3 + w6) + E^(w2 + w5)	3	7	63	288	2
3-144-36-c	$E^{ω_{6}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{2 ω_{1} + ω_{6}}$ E^(w6) + E^(w4 + w5) + E^(2w1 + w6)	3	16	36	144	-16
3-161-39-b	$(E^{ω_{3} + ω_{6}})^{\oplus 2} \oplus E^{ω_{2} + ω_{5}}$ 2 copies of E^(w3 + w6) + E^(w2 + w5)	3	14	39	161	-12