Fl(1,2,4) x P4 – Fano fourfolds

Ambient: Fl(1, 2, 4) × ℙ⁴P4 `3240`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-320-69-c	$E^{2 ω_{4}} \oplus E^{ω_{3}} \oplus E^{ω_{3} + ω_{4}}$ E^(2w4) + E^(w3) + E^(w3 + w4)	4	0	6	69	320	8
3-211-48-a	$E^{ω_{1}} \oplus (E^{ω_{3} + ω_{4}})^{\oplus 2}$ E^(w1) + 2 copies of E^(w3 + w4)	3	0	7	48	211	0
3-336-72-b	$E^{ω_{1} + ω_{4}} \oplus E^{ω_{3}} \oplus E^{ω_{3} + ω_{4}}$ E^(w1 + w4) + E^(w3) + E^(w3 + w4)	3	0	6	72	336	6
3-133-34-a	$E^{ω_{1} + 2 ω_{4}} \oplus E^{ω_{3}} \oplus E^{ω_{3} + ω_{4}}$ E^(w1 + 2w4) + E^(w3) + E^(w3 + w4)	3	1	25	34	133	-23
3-188-44-b	$E^{2 ω_{4}} \oplus E^{ω_{1}} \oplus E^{ω_{2}} \oplus E^{ω_{3} + ω_{4}}$ E^(2w4) + E^(w1) + E^(w2) + E^(w3 + w4)	3	0	6	44	188	-2
3-156-38-b	$E^{2 ω_{4}} \oplus E^{ω_{1} + ω_{4}} \oplus E^{ω_{2} + ω_{4}} \oplus E^{ω_{3}}$ E^(2w4) + E^(w1 + w4) + E^(w2 + w4) + E^(w3)	3	0	12	38	156	-10