P3 x P6 – Fano fourfolds – type A

Ambient: ℙ³P3 × ℙ⁶P6 `30600`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-196-46-a	$E^{2 ω_{4}} \oplus E^{ω_{1} + ω_{4}} \oplus E^{ω_{3} + ω_{4}}$ E^(2w4) + E^(w1 + w4) + E^(w3 + w4)	2	0	10	46	196	-11
2-74-22-a	$E^{2 ω_{4}} \oplus E^{ω_{3} + ω_{4}} \oplus E^{2 ω_{1} + ω_{4}}$ E^(2w4) + E^(w3 + w4) + E^(2w1 + w4)	2	5	52	22	74	-40
2-272-60-b	$(E^{ω_{1} + ω_{4}})^{\oplus 2} \oplus E^{ω_{3} + ω_{4}}$ 2 copies of E^(w1 + w4) + E^(w3 + w4)	2	0	9	60	272	-4
2-68-21-a	$E^{ω_{1} + ω_{4}} \oplus E^{ω_{1} + 2 ω_{4}} \oplus E^{ω_{3} + ω_{4}}$ E^(w1 + w4) + E^(w1 + 2w4) + E^(w3 + w4)	2	8	71	21	68	-51
2-80-23-b	$E^{2 ω_{4}} \oplus E^{ω_{1} + ω_{4}} \oplus E^{ω_{2} + ω_{4}}$ E^(2w4) + E^(w1 + w4) + E^(w2 + w4)	2	1	28	23	80	-27