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Advances in Mathematics· 2026Q1

Toric vector bundles over a discrete valuation ring and Bruhat-Tits buildings

Kiumars Kaveh, Christopher Manon, Boris Tsvelikhovskiy

Short summary

A classification of rank r torus equivariant vector bundles on a toric scheme over a discrete valuation ring (O) is established, using graded piecewise linear maps to the building of GL(r).

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Field: Geometry and Topology

Geometry and TopologyMathematics