The Expanding Zoo of Calabi-Yau Threefolds

Table 3

Other manifolds with small Hodge numbers.

(𝜒,𝑦)	(ℎ^1,1,ℎ^2,1)	Manifold	Reference
(16,24)	(16,8)	—	[29]
(32,24)	(20,4)	—	[29]
(40,24)	(22,2)	—	[29]
(−32, 22)	(3,19)	(ℙ^4[5]/𝐷5)	[27]
(36,22)	(20,2)	Smoothing of variety obtained by blowing down 18 rational curves on the rigid “𝑍” manifold.	[35]
(44,22)	(22,0)	—	[29]
(18,21)	(15,6)	Smoothing of variety obtained by blowing down 27 rational curves on the rigid “𝑍” manifold.	[35]
(−20, 20)	(5,15)	(ℙ^4[5]/𝐴5)	[27]
(8,20)	(12,8)	—	[29]
(16,20)	(14,6)	—	[29]
(32,20)	(18,2)	—	[29]
(40,20)	(20,0)	—	[29]
(38,19)	(19,0)	—	[29]
(20,18)	(14,4)	—	[29]
(28,18)	(16,2)	—	[29]
(26,17)	(15,2)	—	[29]
(16,16)	(12,4)	—	[29]
(28,16)	(15,1)	—	[29]
(32,16)	(16,0)	—	[29]
(26,15)	(14,1)	—	[29]
(20,14)	(12,2)	—	[29]
(28,14)	(14,0)	—	[29]
(26,13)	(13,0)	—	[29]
(16,12)	(10,2)	—	[29]
(14,11)	(9,2)	—	[29]
(8,10)	(7,3)	—	[29]
(12,10)	(8,2)	—	[29]
(20,10)	(10,0)	—	[29]
(8,8)	(6,2)	—	[29]
(16,8)	(8,0)	—	[29]
(8,4)	(4,0)	—	[29]

This table is the same as that above, except all the manifolds listed either have trivial fundamental group, or a fundamental group which has not been calculated (which is the case for several examples from [29]). The notation is the same as above, and the manifolds with no description are all desingularisations of quotients by various groups of a singular complete intersection of four quadrics in ℙ⁷ [29].