zero loci on products of type A Grassmannians and flag varieties
20204013 families with a presentation in this ambient variety. ← back to list
| family | bundle | $\mathrm{h}^{1,1}$ | $\mathrm{h}^{1,2}$ | $\mathrm{h}^{1,3}$ | $\mathrm{h}^{2,2}$ | $\mathrm{h}^0(X, \omega_X^\vee)$ | $\operatorname{vol}(X) = \mathrm{c}_1^4$ | $\chi(X, \mathrm{T}_X)$ |
|---|---|---|---|---|---|---|---|---|
| 3-150-36-a | E^(w2 + w4 + w5) | 3 | 0 | 0 | 10 | 36 | 150 | -4 |
| 3-131-33-a | E^(w4 + w5) + E^(w1 + w4 + w5) | 3 | 0 | 0 | 17 | 33 | 131 | -15 |
| 3-401-84-a | E^(w4 + w5) + E^(w2 + w5) | 3 | 0 | 0 | 5 | 84 | 401 | 12 |
| 2-320-69-b | E^(2w5) + E^(w3 + w5) + E^(w1 + w4) | 2 | 0 | 0 | 4 | 69 | 320 | 4 |
| 4-256-57-b | E^(2w5) + E^(w4 + w5) + E^(w1 + w3) | 4 | 0 | 0 | 6 | 57 | 256 | 4 |
| 4-148-36-a | E^(2w5) + E^(w4 + w5) + E^(2w1 + w3) | 4 | 0 | 0 | 12 | 36 | 148 | -5 |
| 3-239-54-a | 2 copies of E^(w3 + w5) + E^(w2 + w5) | 3 | 0 | 0 | 5 | 54 | 239 | 0 |
| 3-304-66-b | E^(w3 + w5) + E^(w1 + w3) + E^(w2 + w5) | 3 | 0 | 0 | 5 | 66 | 304 | 5 |
| 3-256-57-j | E^(w3 + w5) + E^(w4 + w5) + E^(w1 + w5) | 3 | 0 | 0 | 6 | 57 | 256 | 1 |
| 3-125-32-a | E^(w3 + w5) + E^(w1 + w3 + w5) + E^(w2 + w5) | 3 | 0 | 1 | 24 | 32 | 125 | -20 |
| 3-131-33-b | 2 copies of E^(w3 + w5) + 2 copies of E^(w1 + w5) | 3 | 0 | 0 | 14 | 33 | 131 | -12 |
| 3-130-33-c | E^(w3 + w5) + E^(w4 + w5) + E^(2w1 + w5) | 3 | 0 | 0 | 15 | 33 | 130 | -14 |
| 3-119-31-a | E^(w3 + 2w5) + E^(w1 + w3) + E^(w2 + w5) | 3 | 0 | 1 | 24 | 31 | 119 | -21 |