P1 x P2 x P6 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ²P2 × ℙ⁶P6 `120600`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-352-75-c	$(E^{ω_{3} + ω_{4}})^{\oplus 2} \oplus E^{ω_{1} + ω_{4}}$ 2 copies of E^(w3 + w4) + E^(w1 + w4)	3	0	0	5	75	352	8
3-113-30-a	$(E^{ω_{3} + ω_{4}})^{\oplus 2} \oplus E^{ω_{1} + 2 ω_{4}}$ 2 copies of E^(w3 + w4) + E^(w1 + 2w4)	3	0	2	33	30	113	-28
3-108-29-a	$(E^{2 ω_{4}})^{\oplus 2} \oplus E^{ω_{3} + ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(2w4) + E^(w3 + w4) + E^(w1 + w2)	3	1	0	16	29	108	-18
3-120-31-b	$E^{2 ω_{4}} \oplus E^{ω_{2} + ω_{4}} \oplus E^{ω_{3} + ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(2w4) + E^(w2 + w4) + E^(w3 + w4) + E^(w1 + w4)	3	0	0	18	31	120	-17