P2 x Gr(2,4) – Fano fourfolds

Ambient: ℙ²P2 × Gr(2, 4) `2031`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-56-18-a	$E^{ω_{1} + ω_{3} + ω_{4}}$ E^(w1 + w3 + w4)	2	0	4	47	18	56	-36
2-128-33-a	$E^{2 ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(2w4) + E^(w1 + w4)	2	2	0	6	33	128	-12
2-56-18-b	$E^{2 ω_{4}} \oplus E^{2 ω_{1} + ω_{4}}$ E^(2w4) + E^(2w1 + w4)	2	2	3	36	18	56	-30
2-208-48-a	$(E^{ω_{1} + ω_{4}})^{\oplus 2}$ 2 copies of E^(w1 + w4)	2	0	0	10	48	208	-9
2-50-17-a	$E^{ω_{1} + ω_{4}} \oplus E^{ω_{1} + 2 ω_{4}}$ E^(w1 + w4) + E^(w1 + 2w4)	2	0	7	66	17	50	-47