P2 x P6 – Fano fourfolds – type A

Ambient: ℙ²P2 × ℙ⁶P6 `20600`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-60-19-b	$(E^{2 ω_{3}})^{\oplus 2} \oplus (E^{ω_{1} + ω_{3}})^{\oplus 2}$ 2 copies of E^(2w3) + 2 copies of E^(w1 + w3)	2	0	2	38	19	60	-34
2-55-18-a	$E^{ω_{2} + ω_{3}} \oplus E^{ω_{2} + 2 ω_{3}}$ E^(w2 + w3) + E^(w2 + 2w3)	2	0	3	47	18	55	-40
2-132-34-a	$(E^{2 ω_{3}})^{\oplus 2} \oplus E^{ω_{2} + ω_{3}}$ 2 copies of E^(2w3) + E^(w2 + w3)	2	1	0	10	34	132	-16
2-240-54-b	$E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ E^(2w3) + E^(w1 + w3) + E^(w2 + w3)	2	0	0	10	54	240	-7
2-54-18-a	$E^{2 ω_{3}} \oplus E^{ω_{1} + 2 ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ E^(2w3) + E^(w1 + 2w3) + E^(w2 + w3)	2	0	8	72	18	54	-51
2-48-17-a	$E^{3 ω_{3}} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ E^(3w3) + E^(w1 + w3) + E^(w2 + w3)	2	0	8	77	17	48	-57