Equivariant $K$-theory of cellular toric varieties

We describe the $T_{\rm comp}$-equivariant topological $K$-ring of a complete $T$-<em>cellular</em> toric variety. We further show that $K_{T_{\textrm{comp}}}^0(X)$ is isomorphic as an $R(T_{\rm comp})$-algebra to the ring of piecewise Laurent polynomial

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Publication Details

Journal
Fundamenta Mathematicae
Published
2025-01-01
DOI
https://doi.org/10.4064/fm240427-1-2
Citations
2
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
8.18
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article

Equivariant $K$-theory of cellular toric varieties

V. Uma
2 citations
Fundamenta Mathematicae
Algebraic Geometry and Number Theory
8.18
article

Equivariant $K$-theory of cellular toric varieties

V. Uma
article en
2 citations

Abstract

We describe the $T_{\rm comp}$-equivariant topological $K$-ring of a complete $T$-<em>cellular</em> toric variety. We further show that $K_{T_{\textrm{comp}}}^0(X)$ is isomorphic as an $R(T_{\rm comp})$-algebra to the ring of piecewise Laurent polynomial

Fundamenta MathematicaeVol. 269(1)
Indian Institute of Technology Madras (IN)
Openalex Percentile: Top 4%
Algebraic Geometry and Number Theory
8.18
DOIOpen Access PDFOpenAlex
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Equivariant $K$-theory of cellular toric varieties — V. Uma · Fundamenta Mathematicae (2025) | TGRS Research Map | TGRS