P2 x Fl(1,4,6) – Fano fourfolds

Ambient: ℙ²P2 × Fl(1, 4, 6) `2058`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-352-75-d	$(E^{ω_{7}})^{\oplus 3} \oplus E^{2 ω_{3}} \oplus E^{ω_{1} + ω_{7}}$ 3 copies of E^(w7) + E^(2w3) + E^(w1 + w7)	2	4	75	352	6
3-241-54-e	$(E^{ω_{3}})^{\oplus 2} \oplus E^{ω_{5}} \oplus E^{ω_{2} + ω_{7}}$ 2 copies of E^(w3) + E^(w5) + E^(w2 + w7)	3	5	54	241	2
4-188-44-f	$(E^{ω_{6}})^{\oplus 2} \oplus (E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ 2 copies of E^(w6) + 2 copies of E^(w7) + E^(w1 + w3) + E^(w2 + w3)	4	11	44	188	-4