Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

Ambient: ℙ6P6 600

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

family bundle $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$
1-324-70-a 2 copies of E^(2w1) 1 0 0 8 70 324 -4
1-96-27-a E^(2w1) + E^(3w1) 1 0 8 70 27 96 -55
1-8-7-a E^(2w1) + E^(4w1) 1 0 77 394 7 8 -160
1-9-7-a 2 copies of E^(3w1) 1 0 49 267 7 9 -116