Fl(1,3,6) – Fano fourfolds – type A

Ambient: Fl(1, 3, 6) `54`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-350-75-a	$(E^{ω_{5}})^{\oplus 2} \oplus E^{2 ω_{1}}$ 2 copies of E^(w5) + E^(2w1)	3	0	4	75	350	7
2-384-81-a	$E^{ω_{1}} \oplus E^{2 ω_{5}}$ E^(w1) + E^(2w5)	2	0	2	81	384	10
2-194-45-a	$(E^{ω_{2}})^{\oplus 2} \oplus E^{ω_{4}}$ 2 copies of E^(w2) + E^(w4)	2	1	4	45	194	-3
3-486-100-a	$(E^{ω_{5}})^{\oplus 2} \oplus E^{2 ω_{3}}$ 2 copies of E^(w5) + E^(2w3)	3	0	4	100	486	18
2-157-38-a	$E^{ω_{1}} \oplus E^{ω_{2}} \oplus E^{ω_{3}} \oplus E^{ω_{4}}$ E^(w1) + E^(w2) + E^(w3) + E^(w4)	2	0	8	38	157	-8
2-136-34-a	$(E^{ω_{1}})^{\oplus 2} \oplus (E^{ω_{3}})^{\oplus 2} \oplus E^{ω_{4}}$ 2 copies of E^(w1) + 2 copies of E^(w3) + E^(w4)	2	0	10	34	136	-11
2-126-32-a	$(E^{ω_{3}})^{\oplus 3} \oplus E^{ω_{5}} \oplus E^{2 ω_{1}}$ 3 copies of E^(w3) + E^(w5) + E^(2w1)	2	0	10	32	126	-11