Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Fl(1, 5, 7) 60G

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
3-84-24-a 2 copies of E^(w5) + 3 copies of E^(w6) + 2 copies of E^(2w1) 3 0 0 24 24 84 -24
2-194-45-b E^(w2) + E^(w4) + E^(w6) 2 0 0 7 45 194 -5
3-352-75-b E^(w3) + 2 copies of E^(w6) 3 0 0 4 75 352 9
2-513-105-b 4 copies of E^(w6) + E^(w1 + w6) 2 0 0 3 105 513 18