P3 x Fl(2,3,6) – Fano fourfolds

Ambient: ℙ³P3 × Fl(2, 3, 6) `3055`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-512-105-a	$E^{ω_{5}} \oplus (E^{ω_{8}})^{\oplus 2} \oplus E^{ω_{1} + ω_{8}}$ E^(w5) + 2 copies of E^(w8) + E^(w1 + w8)	2	2	105	512	18
3-304-66-d	$(E^{ω_{4}})^{\oplus 2} \oplus E^{ω_{7}} \oplus E^{ω_{1} + ω_{8}}$ 2 copies of E^(w4) + E^(w7) + E^(w1 + w8)	3	4	66	304	6
3-240-54-b	$E^{ω_{5}} \oplus (E^{ω_{8}})^{\oplus 2} \oplus E^{ω_{1} + ω_{4}} \oplus E^{ω_{1} + ω_{6}}$ E^(w5) + 2 copies of E^(w8) + E^(w1 + w4) + E^(w1 + w6)	3	8	54	240	-2