P1 x Gr(2,5) – Fano fourfolds

Ambient: ℙ¹P1 × Gr(2, 5) `141`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-60-19-c	$E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(w2 + w3) + E^(w1 + w3)	2	1	32	19	60	-31
2-240-54-g	$(E^{ω_{3}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}}$ 2 copies of E^(w3) + E^(w1 + w3)	2	0	7	54	240	-4
2-45-16-b	$(E^{ω_{3}})^{\oplus 2} \oplus E^{ω_{1} + 2 ω_{3}}$ 2 copies of E^(w3) + E^(w1 + 2w3)	2	8	72	16	45	-50
2-50-17-b	$E^{ω_{3}} \oplus E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{3}}$ E^(w3) + E^(2w3) + E^(w1 + w3)	2	2	42	17	50	-38