P2 x Fl(1,3,4) – Fano fourfolds

Ambient: ℙ²P2 × Fl(1, 3, 4) `2034`

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

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-148-36-a	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{4}}$ E^(w3 + w5) + E^(w1 + w4)	3	12	36	148	-8
3-288-63-c	$E^{ω_{1} + ω_{3}} \oplus E^{ω_{2} + ω_{5}}$ E^(w1 + w3) + E^(w2 + w5)	3	7	63	288	2
3-130-33-a	$E^{ω_{1} + 2 ω_{3}} \oplus E^{ω_{2} + ω_{5}}$ E^(w1 + 2w3) + E^(w2 + w5)	3	18	33	130	-17
3-136-34-b	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{1} + ω_{3}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3 + w5) + E^(w1 + w3) + E^(w1 + w5)	3	14	34	136	-12
3-262-58-a	$E^{ω_{3}} \oplus E^{ω_{1} + ω_{4}}$ E^(w3) + E^(w1 + w4)	3	5	58	262	3
4-260-58-b	$E^{2 ω_{3}} \oplus E^{ω_{2} + ω_{5}}$ E^(2w3) + E^(w2 + w5)	4	6	58	260	3
4-240-54-c	$E^{ω_{3}} \oplus E^{2 ω_{5}} \oplus E^{ω_{1} + ω_{3}}$ E^(w3) + E^(2w5) + E^(w1 + w3)	4	6	54	240	3
4-132-33-b	$E^{ω_{3}} \oplus E^{2 ω_{5}} \oplus E^{2 ω_{1} + ω_{3}}$ E^(w3) + E^(2w5) + E^(2w1 + w3)	4	12	33	132	-6
4-152-37-b	$E^{2 ω_{3}} \oplus (E^{ω_{1} + ω_{5}})^{\oplus 2}$ E^(2w3) + 2 copies of E^(w1 + w5)	4	12	37	152	-6