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arxiv: 1206.2236 · v1 · pith:ZXOLBN4Dnew · submitted 2012-06-11 · ✦ hep-th

Counting Points and Hilbert Series in String Theory

classification ✦ hep-th
keywords countinghilbertpointspolytopesreflexiveseriesapplicationcalabi-yau
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The problem of counting points is revisited from the perspective of reflexive 4-dimensional polytopes. As an application, the Hilbert series of the 473,800,776 reflexive polytopes (equivalently, their Calabi-Yau hypersurfaces) are computed.

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