P2 x P5 – Fano fourfolds – type A

Ambient: ℙ²P2 × ℙ⁵P5 `2050`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-56-18-b	$(E^{2 ω_{3}})^{\oplus 2} \oplus E^{2 ω_{1} + ω_{3}}$ 2 copies of E^(2w3) + E^(2w1 + w3)	2	2	3	36	18	56	-30
2-99-28-a	$E^{3 ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ E^(3w3) + E^(w2 + w3)	2	1	1	23	28	99	-29
2-192-45-e	$E^{ω_{1} + 2 ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ E^(w1 + 2w3) + E^(w2 + w3)	2	0	1	22	45	192	-19
2-38-15-a	$E^{ω_{1} + 3 ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ E^(w1 + 3w3) + E^(w2 + w3)	2	0	21	143	15	38	-84
2-51-17-a	$E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + 2 ω_{3}}$ E^(w1 + w3) + E^(w2 + 2w3)	2	0	2	41	17	51	-36
2-128-33-c	$(E^{2 ω_{3}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}}$ 2 copies of E^(2w3) + E^(w1 + w3)	2	2	0	6	33	128	-12
2-208-48-b	$E^{2 ω_{3}} \oplus (E^{ω_{1} + ω_{3}})^{\oplus 2}$ E^(2w3) + 2 copies of E^(w1 + w3)	2	0	0	10	48	208	-9
2-45-16-a	$E^{3 ω_{3}} \oplus (E^{ω_{1} + ω_{3}})^{\oplus 2}$ E^(3w3) + 2 copies of E^(w1 + w3)	2	0	3	51	16	45	-44