P1 x P3 x P4 – Fano fourfolds

Ambient: ℙ¹P1 × ℙ³P3 × ℙ⁴P4 `13040`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-120-31-a	$E^{2 ω_{5}} \oplus (E^{ω_{2} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2}}$ E^(2w5) + 2 copies of E^(w2 + w5) + E^(w1 + w2)	3	0	0	16	31	120	-15
3-304-66-d	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(w3 + w5) + E^(w1 + w2)	3	0	0	4	66	304	6
3-272-60-f	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3 + w5) + E^(w1 + w5)	3	0	0	4	60	272	4
3-431-90-b	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w4 + w5) + E^(w1 + w5)	3	0	0	3	90	431	14
3-115-30-a	$(E^{ω_{2} + ω_{5}})^{\oplus 3} \oplus E^{ω_{1} + ω_{5}}$ 3 copies of E^(w2 + w5) + E^(w1 + w5)	3	0	0	19	30	115	-18
3-120-31-c	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ E^(w3 + w5) + E^(w1 + w2 + w5)	3	0	1	22	31	120	-18
3-464-96-b	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ E^(w4 + w5) + E^(w1 + w2)	3	0	0	4	96	464	16
3-249-56-a	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ E^(w4 + w5) + E^(w1 + w2 + w5)	3	0	0	9	56	249	-4
3-288-63-g	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + 2 ω_{2}}$ E^(w4 + w5) + E^(w1 + 2w2)	3	1	0	4	63	288	4
3-103-28-a	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + 2 ω_{2} + ω_{5}}$ E^(w4 + w5) + E^(w1 + 2w2 + w5)	3	0	4	47	28	103	-36