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arXiv · 2008.08961

The cohomology rings of real toric spaces and smooth real toric varieties

Matthias Franz
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Abstract

We compute the cohomology rings of smooth real toric varieties and of real toric spaces, which are quotients of real moment-angle complexes by freely acting subgroups of the ambient 2-torus. The differential graded algebra we present is in fact an equivariant dga model, valid for arbitrary coefficients. We deduce from our description that smooth toric varieties are M-varieties.

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Matthias Franz. 2020-08-20. The cohomology rings of real toric spaces and smooth real toric varieties. https://doi.org/10.1017/prm.2021.30

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