Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Gr(2, 7) 601

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
1-36-14-a E^(w3) + E^(2w2) 1 0 14 100 14 36 -62
8-80-21-a 2 copies of E^(2w1) 8 0 0 30 21 80 -4
1-56-18-a 3 copies of E^(w2) + E^(2w1) 1 0 3 38 18 56 -33
1-42-15-a 6 copies of E^(w2) 1 0 6 57 15 42 -42
1-288-63-a E^(w2) + E^(w3) 1 0 0 2 63 288 1