P1 x P4 x P6 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ⁴P4 × ℙ⁶P6 `140600`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-172-41-e	$E^{2 ω_{6}} \oplus E^{ω_{5} + ω_{6}} \oplus E^{2 ω_{2}} \oplus E^{ω_{1} + ω_{2}}$ E^(2w6) + E^(w5 + w6) + E^(2w2) + E^(w1 + w2)	4	14	41	172	-8
3-161-39-a	$(E^{ω_{2} + ω_{6}})^{\oplus 2} \oplus E^{ω_{5} + ω_{6}} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(w2 + w6) + E^(w5 + w6) + E^(w1 + w2)	3	16	39	161	-14
3-172-41-a	$E^{ω_{2} + ω_{6}} \oplus E^{ω_{5} + ω_{6}} \oplus E^{2 ω_{2}} \oplus E^{ω_{1} + ω_{6}}$ E^(w2 + w6) + E^(w5 + w6) + E^(2w2) + E^(w1 + w6)	3	12	41	172	-9
3-183-43-d	$E^{ω_{4} + ω_{6}} \oplus E^{ω_{1} + ω_{2}}$ E^(w4 + w6) + E^(w1 + w2)	3	7	43	183	-3