P1 x Fl(1,2,4) x P2 – Fano fourfolds

Ambient: ℙ¹P1 × Fl(1, 2, 4) × ℙ²P2 `12032`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-214-49-a	$E^{ω_{2}} \oplus E^{ω_{3}} \oplus E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w2) + E^(w3) + E^(w3 + w5) + E^(w1 + w5)	4	9	49	214	-1
4-236-53-a	$E^{ω_{2}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{3}}$ E^(w2) + E^(w4 + w5) + E^(w1 + w3)	4	9	53	236	1
4-230-52-c	$E^{ω_{2}} \oplus E^{ω_{3} + ω_{6}} \oplus E^{ω_{1} + ω_{5}}$ E^(w2) + E^(w3 + w6) + E^(w1 + w5)	4	8	52	230	1
4-246-55-a	$E^{ω_{3}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(w3) + E^(w4 + w5) + E^(w1 + w2)	4	7	55	246	3
5-230-52-c	$E^{ω_{2} + ω_{5}} \oplus (E^{ω_{3}})^{\oplus 2} \oplus E^{ω_{1} + ω_{5}}$ E^(w2 + w5) + 2 copies of E^(w3) + E^(w1 + w5)	5	10	52	230	2