Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: Fl(1, 2, 3, 5) 46

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
3-400-84-b E^(w2) + 2 copies of E^(w4) 3 0 0 4 84 400 12
3-432-90-a E^(w1) + 2 copies of E^(w4) 3 0 0 4 90 432 14
3-202-47-a 2 copies of E^(w4) + E^(w1 + w2) 3 0 0 10 47 202 -7
3-267-59-a E^(w1) + E^(w2) + E^(w3) + E^(w4) 3 0 0 5 59 267 3