Fl(1,5,6) – Fano fourfolds – type A

Ambient: Fl(1, 5, 6) `5G`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-80-23-a	$(E^{ω_{1}})^{\oplus 2} \oplus E^{2 ω_{1}} \oplus (E^{2 ω_{5}})^{\oplus 2}$ 2 copies of E^(w1) + E^(2w1) + 2 copies of E^(2w5)	3	2	1	22	23	80	-20
2-70-21-a	$(E^{ω_{1}})^{\oplus 2} \oplus (E^{ω_{1} + ω_{5}})^{\oplus 2} \oplus E^{2 ω_{5}}$ 2 copies of E^(w1) + 2 copies of E^(w1 + w5) + E^(2w5)	2	0	3	40	21	70	-33
2-50-17-a	$(E^{ω_{1}})^{\oplus 3} \oplus E^{2 ω_{5}} \oplus E^{ω_{1} + 2 ω_{5}}$ 3 copies of E^(w1) + E^(2w5) + E^(w1 + 2w5)	2	0	7	66	17	50	-47