The 24-Cell and Calabi-Yau Threefolds with Hodge Numbers (1,1)

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, 3 figures, 3 tables

Scientific paper

Calabi-Yau threefolds with h^11(X)=h^21(X)=1 are constructed as free
quotients of a hypersurface in the ambient toric variety defined by the
24-cell. Their fundamental groups are SL(2,3), a semidirect product of Z_3 and
Z_8, and Z_3 x Q_8.

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