P1 x P3 x P7 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ³P3 × ℙ⁷P7 `130700`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-324-70-a	$(E^{ω_{4} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{5}}$ 2 copies of E^(w4 + w5) + E^(w1 + w5)	3	0	4	70	324	6
3-432-90-b	$(E^{ω_{4} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(w4 + w5) + E^(w1 + w2)	3	0	4	90	432	14
3-167-40-b	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3 + w5) + E^(w4 + w5) + E^(w1 + w5)	3	0	11	40	167	-8
3-160-39-d	$(E^{ω_{4} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ 2 copies of E^(w4 + w5) + E^(w1 + w2 + w5)	3	1	22	39	160	-18