Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Gr(3, 7) 603

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
1-72-21-a 2 copies of E^(w4) 1 0 0 15 21 72 -18
1-66-20-a E^(w2) + E^(w3) + E^(w4) 1 0 1 24 20 66 -25
1-61-19-a 2 copies of E^(w2) + 2 copies of E^(w3) 1 0 2 30 19 61 -28