P1 x Fl(1,4,6) – Fano fourfolds

Ambient: ℙ¹P1 × Fl(1, 4, 6) `158`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-304-66-a	$(E^{ω_{6}})^{\oplus 3} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{2}}$ 3 copies of E^(w6) + E^(w2 + w5) + E^(w1 + w2)	3	6	66	304	4
3-304-66-c	$(E^{ω_{6}})^{\oplus 3} \oplus E^{2 ω_{2}} \oplus E^{ω_{1} + ω_{5}}$ 3 copies of E^(w6) + E^(2w2) + E^(w1 + w5)	3	6	66	304	4
4-146-36-h	$(E^{ω_{5}})^{\oplus 2} \oplus (E^{ω_{6}})^{\oplus 2} \oplus E^{2 ω_{2}} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(w5) + 2 copies of E^(w6) + E^(2w2) + E^(w1 + w2)	4	14	36	146	-9