Fl(2,4,7) – Fano fourfolds – type A

Ambient: Fl(2, 4, 7) `609`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-432-90-b	$(E^{ω_{6}})^{\oplus 3} \oplus E^{2 ω_{1}}$ 3 copies of E^(w6) + E^(2w1)	2	0	2	90	432	13
2-352-75-b	$(E^{ω_{6}})^{\oplus 2} \oplus E^{ω_{1} + ω_{6}}$ 2 copies of E^(w6) + E^(w1 + w6)	2	0	4	75	352	6
2-512-105-a	$(E^{ω_{1}})^{\oplus 3} \oplus E^{2 ω_{6}}$ 3 copies of E^(w1) + E^(2w6)	2	0	2	105	512	18
2-225-51-a	$(E^{ω_{1}})^{\oplus 3} \oplus (E^{ω_{5}})^{\oplus 2}$ 3 copies of E^(w1) + 2 copies of E^(w5)	2	0	5	51	225	-2
2-432-90-c	$E^{ω_{2}} \oplus E^{ω_{3}} \oplus (E^{ω_{6}})^{\oplus 3}$ E^(w2) + E^(w3) + 3 copies of E^(w6)	2	0	3	90	432	12
2-112-30-c	$E^{ω_{3}} \oplus (E^{ω_{6}})^{\oplus 3} \oplus E^{2 ω_{2}}$ E^(w3) + 3 copies of E^(w6) + E^(2w2)	2	3	40	30	112	-36