Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Gr(3, 6) 53

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
1-32-13-a E^(w2) + E^(w3) + E^(2w3) 1 0 14 100 13 32 -61
1-42-15-b 5 copies of E^(w3) 1 0 5 52 15 42 -40
1-256-57-a E^(w2) + 2 copies of E^(w3) 1 0 0 4 57 256 -3