Fl(1,3,7) – Fano fourfolds – type A

Ambient: Fl(1, 3, 7) `604`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-358-76-a	$E^{ω_{2}} \oplus E^{ω_{4}} \oplus E^{ω_{6}}$ E^(w2) + E^(w4) + E^(w6)	3	0	5	76	358	9
2-305-66-a	$(E^{ω_{6}})^{\oplus 2} \oplus E^{ω_{2} + ω_{3}}$ 2 copies of E^(w6) + E^(w2 + w3)	2	1	3	66	305	4
2-146-36-c	$(E^{ω_{2}})^{\oplus 2} \oplus (E^{ω_{3}})^{\oplus 2} \oplus E^{ω_{6}}$ 2 copies of E^(w2) + 2 copies of E^(w3) + E^(w6)	2	0	15	36	146	-16