Fl(1,2,5) x P2 – Fano fourfolds

Ambient: Fl(1, 2, 5) × ℙ²P2 `2042`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-480-99-a	$E^{ω_{2} + ω_{6}} \oplus E^{ω_{4}}$ E^(w2 + w6) + E^(w4)	3	0	4	99	480	17
3-303-66-a	$E^{ω_{1} + ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{4}}$ E^(w1 + w5) + E^(w2 + w5) + E^(w4)	3	0	5	66	303	4
4-304-66-d	$E^{ω_{1} + ω_{5}} \oplus E^{ω_{4}} \oplus E^{2 ω_{2}}$ E^(w1 + w5) + E^(w4) + E^(2w2)	4	0	8	66	304	5
3-151-37-a	$E^{ω_{1} + ω_{5}} \oplus E^{ω_{4}} \oplus E^{2 ω_{2} + ω_{5}}$ E^(w1 + w5) + E^(w4) + E^(2w2 + w5)	3	0	17	37	151	-15
4-160-39-a	$E^{ω_{1} + 2 ω_{5}} \oplus E^{ω_{4}} \oplus E^{2 ω_{2}}$ E^(w1 + 2w5) + E^(w4) + E^(2w2)	4	0	14	39	160	-10
3-336-72-c	$(E^{ω_{2} + ω_{5}})^{\oplus 2} \oplus E^{ω_{4}}$ 2 copies of E^(w2 + w5) + E^(w4)	3	0	4	72	336	8
3-288-63-d	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2 + w5) + E^(w4) + E^(w1 + w2)	3	0	5	63	288	4
3-145-36-a	$E^{ω_{2} + ω_{5}} \oplus E^{ω_{4}} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ E^(w2 + w5) + E^(w4) + E^(w1 + w2 + w5)	3	1	23	36	145	-19
3-162-39-c	$E^{ω_{2} + 2 ω_{5}} \oplus E^{ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2 + 2w5) + E^(w4) + E^(w1 + w2)	3	0	11	39	162	-8