Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: ℙ1P1 × ℙ2P2 × ℙ4P4 12040

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
3-208-48-a E^(2w4) + E^(w2 + w4) + E^(w1 + w4) 3 0 0 6 48 208 -2
3-400-84-b E^(w3 + w4) + E^(w1 + w4) 3 0 0 4 84 400 12
3-185-44-a E^(w3 + w4) + E^(w1 + 2w4) 3 0 0 9 44 185 -8
3-459-95-a E^(w3 + w4) + E^(w1 + w2) 3 0 0 4 95 459 16
3-256-57-e E^(w3 + w4) + E^(w1 + w2 + w4) 3 0 0 9 57 256 -2
3-83-24-a E^(w3 + w4) + E^(w1 + w2 + 2w4) 3 0 5 54 24 83 -40
3-89-25-a E^(w3 + 2w4) + E^(w1 + w2) 3 5 0 9 25 89 -14
3-272-60-b E^(2w4) + E^(w2 + w4) + E^(w1 + w2) 3 0 0 6 60 272 2
3-100-27-b E^(2w4) + E^(w2 + w4) + E^(w1 + w2 + w4) 3 0 1 24 27 100 -20
3-88-25-a E^(2w4) + E^(w2 + 2w4) + E^(w1 + w2) 3 0 0 24 25 88 -25
3-100-27-c E^(2w4) + E^(2w2 + w4) + E^(w1 + w4) 3 0 0 18 27 100 -17
3-78-23-a E^(3w4) + E^(w2 + w4) + E^(w1 + w2) 3 5 0 12 23 78 -18
3-256-57-g 2 copies of E^(w2 + w4) + E^(w1 + w4) 3 0 0 7 57 256 0
3-95-26-a 2 copies of E^(w2 + w4) + E^(w1 + 2w4) 3 0 0 21 26 95 -20
3-89-25-b E^(w2 + w4) + E^(w2 + 2w4) + E^(w1 + w4) 3 0 1 30 25 89 -27