P1 x Fl(1,3,6) – Fano fourfolds

Ambient: ℙ¹P1 × Fl(1, 3, 6) `154`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-142-35-a	$(E^{ω_{6}})^{\oplus 2} \oplus E^{2 ω_{2}} \oplus E^{ω_{1} + 2 ω_{4}}$ 2 copies of E^(w6) + E^(2w2) + E^(w1 + 2w4)	4	1	0	14	35	142	-9
3-272-60-h	$E^{ω_{2}} \oplus E^{2 ω_{6}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2) + E^(2w6) + E^(w1 + w2)	3	0	0	4	60	272	4
5-209-48-d	$E^{ω_{2}} \oplus (E^{ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2}}$ E^(w2) + 2 copies of E^(w5) + E^(w1 + w2)	5	0	0	11	48	209	0
4-352-75-c	$(E^{ω_{6}})^{\oplus 2} \oplus E^{2 ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ 2 copies of E^(w6) + E^(2w4) + E^(w1 + w2)	4	0	0	6	75	352	10
4-134-34-a	$(E^{ω_{6}})^{\oplus 2} \oplus E^{2 ω_{4}} \oplus E^{ω_{1} + 2 ω_{2}}$ 2 copies of E^(w6) + E^(2w4) + E^(w1 + 2w2)	4	0	1	24	34	134	-18