Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Fl(2, 3, 7) 605

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
2-432-90-b E^(w2) + 2 copies of E^(w6) + E^(2w3) 2 0 0 2 90 432 13
2-433-90-a 2 copies of E^(w6) + E^(w1 + w3) 2 0 0 3 90 433 13
3-241-54-b 2 copies of E^(w2) + E^(w4) + E^(w6) 3 0 0 9 54 241 -2
2-297-65-a E^(w2) + 2 copies of E^(w6) + E^(w2 + w3) 2 0 0 7 65 297 -2