zero loci on products of type A Grassmannians and flag varieties
2030508 families with a presentation in this ambient variety. ← back to list
| family | bundle | $\mathrm{h}^{1,1}$ | $\mathrm{h}^{1,2}$ | $\mathrm{h}^{1,3}$ | $\mathrm{h}^{2,2}$ | $\mathrm{h}^0(X, \omega_X^\vee)$ | $\operatorname{vol}(X) = \mathrm{c}_1^4$ | $\chi(X, \mathrm{T}_X)$ |
|---|---|---|---|---|---|---|---|---|
| 3-178-42-d | E^(w4 + w6) + E^(w1 + w3) + E^(w2 + w6) | 3 | 0 | 0 | 9 | 42 | 178 | -5 |
| 3-336-72-d | E^(w5 + w6) + E^(w1 + w3) + E^(w2 + w6) | 3 | 0 | 0 | 5 | 72 | 336 | 7 |
| 3-173-41-a | E^(w5 + w6) + E^(w1 + 2w3) + E^(w2 + w6) | 3 | 0 | 0 | 15 | 41 | 173 | -11 |
| 3-172-41-b | E^(w3 + w6) + E^(w5 + w6) + E^(w1 + w6) + E^(w1 + w3) | 3 | 0 | 0 | 12 | 41 | 172 | -9 |
| 4-286-63-b | E^(2w6) + E^(w5 + w6) + E^(w2 + w3) | 4 | 0 | 0 | 6 | 63 | 286 | 4 |
| 3-384-81-c | E^(w5 + w6) + E^(w1 + w6) + E^(w2 + w3) | 3 | 0 | 0 | 5 | 81 | 384 | 10 |
| 3-149-37-a | E^(w5 + w6) + E^(w1 + 2w6) + E^(w2 + w3) | 3 | 0 | 1 | 24 | 37 | 149 | -21 |
| 4-178-42-b | E^(2w6) + E^(w5 + w6) + 2 copies of E^(w1 + w3) | 4 | 0 | 0 | 12 | 42 | 178 | -5 |