Fl(2,3,5) – Fano fourfolds – type A

Ambient: Fl(2, 3, 5) `45`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
6-230-51-a	$E^{ω_{1} + ω_{4}}$ E^(w1 + w4)	6	0	16	51	230	4
2-147-36-c	$E^{ω_{1}} \oplus E^{ω_{1} + ω_{3}}$ E^(w1) + E^(w1 + w3)	2	0	13	36	147	-13
2-352-75-c	$E^{ω_{1}} \oplus E^{ω_{2}} \oplus E^{ω_{3}}$ E^(w1) + E^(w2) + E^(w3)	2	0	3	75	352	7
2-114-30-b	$E^{ω_{1}} \oplus E^{ω_{2}} \oplus E^{2 ω_{3}}$ E^(w1) + E^(w2) + E^(2w3)	2	1	24	30	114	-24
2-325-70-a	$E^{ω_{1}} \oplus (E^{ω_{3}})^{\oplus 2}$ E^(w1) + 2 copies of E^(w3)	2	0	4	70	325	4
2-130-33-a	$E^{ω_{1}} \oplus E^{ω_{3}} \oplus E^{ω_{2} + ω_{3}}$ E^(w1) + E^(w3) + E^(w2 + w3)	2	1	23	33	130	-22
2-162-39-b	$(E^{ω_{2}})^{\oplus 2} \oplus (E^{ω_{3}})^{\oplus 2}$ 2 copies of E^(w2) + 2 copies of E^(w3)	2	0	8	39	162	-8