Fl(1,4,6) – Fano fourfolds – type A

Ambient: Fl(1, 4, 6) `58`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-63-20-a	$(E^{ω_{4}})^{\oplus 2} \oplus (E^{ω_{5}})^{\oplus 2} \oplus E^{3 ω_{1}}$ 2 copies of E^(w4) + 2 copies of E^(w5) + E^(3w1)	3	0	1	38	20	63	-36
2-432-90-a	$(E^{ω_{5}})^{\oplus 3} \oplus E^{ω_{1} + ω_{4}}$ 3 copies of E^(w5) + E^(w1 + w4)	2	0	0	3	90	432	12
2-163-39-a	$E^{ω_{1}} \oplus (E^{ω_{3}})^{\oplus 2}$ E^(w1) + 2 copies of E^(w3)	2	1	0	6	39	163	-6
2-188-44-b	$E^{ω_{2}} \oplus E^{ω_{3}} \oplus E^{ω_{4}}$ E^(w2) + E^(w3) + E^(w4)	2	0	0	6	44	188	-5
2-146-36-a	$E^{ω_{3}} \oplus E^{ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3) + E^(w5) + E^(w1 + w5)	2	0	0	14	36	146	-15
2-136-34-b	$E^{ω_{3}} \oplus E^{ω_{4}} \oplus E^{ω_{5}} \oplus E^{2 ω_{1}}$ E^(w3) + E^(w4) + E^(w5) + E^(2w1)	2	0	0	14	34	136	-15
2-126-32-b	$(E^{ω_{1}})^{\oplus 2} \oplus E^{ω_{3}} \oplus (E^{ω_{4}})^{\oplus 2}$ 2 copies of E^(w1) + E^(w3) + 2 copies of E^(w4)	2	0	0	12	32	126	-13
3-256-57-c	$(E^{ω_{4}})^{\oplus 2} \oplus (E^{ω_{5}})^{\oplus 2} \oplus E^{2 ω_{1}}$ 2 copies of E^(w4) + 2 copies of E^(w5) + E^(2w1)	3	0	0	8	57	256	-1