Fl(2,3,8) – Fano fourfolds – type A

Ambient: Fl(2, 3, 8) `705`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
2-378-80-a	$E^{ω_{2}} \oplus (E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}}$ E^(w2) + 2 copies of E^(w7) + E^(w1 + w3)	2	0	4	80	378	7
2-161-39-a	$(E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ 2 copies of E^(w7) + E^(w1 + w3) + E^(w2 + w3)	2	1	23	39	161	-21
2-160-39-d	$E^{ω_{2}} \oplus (E^{ω_{7}})^{\oplus 2} \oplus E^{ω_{2} + ω_{3}} \oplus E^{2 ω_{3}}$ E^(w2) + 2 copies of E^(w7) + E^(w2 + w3) + E^(2w3)	2	1	22	39	160	-21