P1 x P1 x Fl(1,2,4) – Fano fourfolds

Ambient: ℙ¹P1 × ℙ¹P1 × Fl(1, 2, 4) `1132`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-204-47-a	$E^{ω_{4}} \oplus E^{ω_{2} + ω_{3}} \oplus E^{ω_{1} + ω_{4}}$ E^(w4) + E^(w2 + w3) + E^(w1 + w4)	4	8	47	204	0
4-172-41-c	$E^{ω_{3}} \oplus E^{ω_{4}} \oplus E^{ω_{1} + ω_{2} + ω_{4}}$ E^(w3) + E^(w4) + E^(w1 + w2 + w4)	4	12	41	172	-6
4-188-44-c	$E^{ω_{3}} \oplus E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(w3) + E^(w2 + w4) + E^(w1 + w4)	4	11	44	188	-4
5-188-44-c	$(E^{ω_{4}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2} + ω_{3}}$ 2 copies of E^(w4) + E^(w1 + w2 + w3)	5	12	44	188	-2