Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Fl(1, 2, 4) × ℙ2P2 2032

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
3-368-78-a E^(w1 + w4) + E^(w3) 3 0 0 5 78 368 9
3-400-84-a E^(w2 + w4) + E^(w3) 3 0 0 4 84 400 12
3-224-51-b E^(w3) + E^(w1 + w2 + w4) 3 0 0 11 51 224 -6
3-206-48-a E^(w1 + 2w4) + E^(w3) 3 0 0 5 48 206 -3
3-358-76-a E^(w1) + E^(w3 + w4) 3 0 0 5 76 358 9
3-272-60-a E^(w1) + E^(w2 + w5) 3 0 0 5 60 272 3
3-178-42-a E^(w1 + w4) + E^(w2 + w5) 3 0 0 9 42 178 -5
3-320-69-a E^(w2) + E^(w3 + w4) 3 0 0 4 69 320 7
3-178-42-b E^(w3 + w4) + E^(w1 + w2) 3 0 0 11 42 178 -7
3-256-57-f E^(w2 + 2w4) + E^(w3) 3 0 0 4 57 256 3
3-98-27-a E^(w3) + E^(w1 + w2 + 2w4) 3 0 3 41 27 98 -33
3-256-57-h E^(w1) + E^(w2) + E^(w2 + w4) 3 0 0 6 57 256 1
3-130-33-b E^(w1) + E^(w2) + E^(w2 + 2w4) 3 0 0 15 33 130 -14
3-146-36-a E^(w1) + 2 copies of E^(w2 + w4) 3 0 0 14 36 146 -12
4-272-60-b E^(w1 + w4) + 2 copies of E^(w2) 4 0 0 7 60 272 4
3-162-39-b E^(w1 + w4) + E^(w2) + E^(w2 + w4) 3 0 0 10 39 162 -7
4-146-36-f E^(w1 + 2w4) + 2 copies of E^(w2) 4 0 0 13 36 146 -8