P2 x P2 x P6 – Fano fourfolds

Ambient: ℙ²P2 × ℙ²P2 × ℙ⁶P6 `2020600`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-156-38-a	$E^{2 ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{5}}$ E^(2w5) + E^(w4 + w5) + E^(w1 + w3) + E^(w2 + w5)	3	12	38	156	-10
3-305-66-a	$(E^{ω_{4} + ω_{5}})^{\oplus 2} \oplus E^{ω_{2} + ω_{5}}$ 2 copies of E^(w4 + w5) + E^(w2 + w5)	3	5	66	305	6
3-162-39-d	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{5}} \oplus E^{ω_{2} + ω_{5}}$ E^(w3 + w5) + E^(w4 + w5) + E^(w1 + w5) + E^(w2 + w5)	3	13	39	162	-10
3-161-39-c	$(E^{ω_{3} + ω_{5}})^{\oplus 2} \oplus (E^{ω_{2} + ω_{5}})^{\oplus 2}$ 2 copies of E^(w3 + w5) + 2 copies of E^(w2 + w5)	3	14	39	161	-12