Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Fl(1, 2, 5) 42

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
2-544-111-a E^(w4) 2 0 0 2 111 544 20
2-320-69-c E^(w1) + 2 copies of E^(w2) 2 0 0 4 69 320 4
2-94-26-a E^(w1) + E^(w2) + E^(2w2) 2 0 1 28 26 94 -28
2-272-60-e 3 copies of E^(w2) 2 0 0 2 60 272 3
2-110-29-a 2 copies of E^(w2) + E^(w1 + w2) 2 0 1 22 29 110 -21