P2 x P3 x P6 – Fano fourfolds

Ambient: ℙ²P2 × ℙ³P3 × ℙ⁶P6 `2030600`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-352-75-a	$(E^{ω_{5} + ω_{6}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}}$ 2 copies of E^(w5 + w6) + E^(w1 + w3)	3	5	75	352	8
3-432-90-a	$E^{ω_{5} + ω_{6}} \oplus E^{ω_{2} + ω_{6}} \oplus E^{ω_{2} + ω_{3}}$ E^(w5 + w6) + E^(w2 + w6) + E^(w2 + w3)	3	4	90	432	14
3-208-48-i	$(E^{ω_{5} + ω_{6}})^{\oplus 2} \oplus E^{2 ω_{1} + ω_{3}}$ 2 copies of E^(w5 + w6) + E^(2w1 + w3)	3	8	48	208	-4
3-176-42-d	$E^{2 ω_{6}} \oplus E^{ω_{5} + ω_{6}} \oplus E^{ω_{1} + ω_{6}} \oplus E^{ω_{2} + ω_{3}}$ E^(2w6) + E^(w5 + w6) + E^(w1 + w6) + E^(w2 + w3)	3	12	42	176	-10
3-188-44-e	$E^{ω_{3} + ω_{6}} \oplus E^{ω_{5} + ω_{6}} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{6}}$ E^(w3 + w6) + E^(w5 + w6) + E^(w1 + w3) + E^(w2 + w6)	3	11	44	188	-7