P1 x P2 x Fl(2,3,5) – Fano fourfolds

Ambient: ℙ¹P1 × ℙ²P2 × Fl(2, 3, 5) `12045`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-321-69-a	$E^{ω_{4}} \oplus E^{ω_{3} + ω_{7}} \oplus E^{ω_{1} + ω_{5}}$ E^(w4) + E^(w3 + w7) + E^(w1 + w5)	4	7	69	321	8
4-257-57-c	$(E^{ω_{4}})^{\oplus 2} \oplus E^{ω_{2} + ω_{7}} \oplus E^{ω_{1} + ω_{6}}$ 2 copies of E^(w4) + E^(w2 + w7) + E^(w1 + w6)	4	9	57	257	2
4-257-57-d	$(E^{ω_{4}})^{\oplus 2} \oplus E^{ω_{3} + ω_{6}} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(w4) + E^(w3 + w6) + E^(w1 + w2)	4	7	57	257	4
4-240-54-e	$(E^{ω_{4}})^{\oplus 2} \oplus E^{ω_{6}} \oplus E^{ω_{2} + ω_{6}} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(w4) + E^(w6) + E^(w2 + w6) + E^(w1 + w2)	4	9	54	240	0