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The cohomology rings of real toric spaces and smooth real toric varieties (2008.08961v3)

Published 20 Aug 2020 in math.AT and math.AG

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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