Fl(1,4,5) – Fano fourfolds – type A

Ambient: Fl(1, 4, 5) `48`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-60-19-a	$E^{ω_{1}} \oplus E^{2 ω_{1}} \oplus E^{3 ω_{4}}$ E^(w1) + E^(2w1) + E^(3w4)	3	5	1	22	19	60	-23
3-224-51-d	$E^{ω_{1}} \oplus E^{2 ω_{1}} \oplus E^{2 ω_{4}}$ E^(w1) + E^(2w1) + E^(2w4)	3	0	0	8	51	224	-3
2-192-45-f	$E^{ω_{1}} \oplus (E^{ω_{1} + ω_{4}})^{\oplus 2}$ E^(w1) + 2 copies of E^(w1 + w4)	2	0	0	12	45	192	-12
2-55-18-b	$E^{ω_{1}} \oplus E^{ω_{1} + ω_{4}} \oplus E^{ω_{1} + 2 ω_{4}}$ E^(w1) + E^(w1 + w4) + E^(w1 + 2w4)	2	0	7	65	18	55	-46
2-80-23-a	$E^{2 ω_{1}} \oplus E^{ω_{1} + ω_{4}} \oplus E^{2 ω_{4}}$ E^(2w1) + E^(w1 + w4) + E^(2w4)	2	0	2	30	23	80	-26
2-70-21-b	$(E^{ω_{1} + ω_{4}})^{\oplus 3}$ 3 copies of E^(w1 + w4)	2	0	4	46	21	70	-36