P2 x Fl(2,3,6) – Fano fourfolds

Ambient: ℙ²P2 × Fl(2, 3, 6) `2055`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-378-80-a	$E^{ω_{4}} \oplus (E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}}$ E^(w4) + 2 copies of E^(w7) + E^(w1 + w3)	3	4	80	378	10
3-321-69-a	$(E^{ω_{5}})^{\oplus 2} \oplus E^{ω_{7}} \oplus E^{ω_{2} + ω_{3}}$ 2 copies of E^(w5) + E^(w7) + E^(w2 + w3)	3	5	69	321	7
3-225-51-d	$(E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{3}}$ 2 copies of E^(w7) + E^(w4 + w5) + E^(w1 + w3)	3	11	51	225	-5
3-225-51-e	$(E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{1} + ω_{5}} \oplus E^{ω_{2} + ω_{4}}$ 2 copies of E^(w7) + E^(w1 + w5) + E^(w2 + w4)	3	8	51	225	-2
3-208-48-l	$E^{ω_{4}} \oplus (E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{1} + ω_{4}} \oplus E^{ω_{1} + ω_{5}}$ E^(w4) + 2 copies of E^(w7) + E^(w1 + w4) + E^(w1 + w5)	3	10	48	208	-6