4 papers · 1 filter
Toric vector bundles over a discrete valuation ring and Bruhat-Tits buildings
Kiumars Kaveh, Christopher Manon, Boris Tsvelikhovskiy
We give a classification of rank torus equivariant vector bundles on a toric scheme over a discrete valuation ring , in terms of grade…
Tropical vector bundles and matroids
Kiumars Kaveh, Christopher Manon
We introduce a notion of tropical vector bundle on a tropical toric variety which is a tropical analogue of a torus equivariant vector bundle on a toric variety. Alternatively it c…
Equivariant vector bundles on complexity-one T-varieties and Bruhat-Tits buildings
Jyoti Dasgupta, Chandranandan Gangopadhyay, Kiumars Kaveh +1
We give a combinatorial classification of torus equivariant vector bundles on a (normal) projective T-variety of complexity-one. This extends the classification of equivariant line…
Equivariant Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings
Ana MarÃa Botero, Kiumars Kaveh, Christopher Manon
We define equivariant Chern classes of a toric vector bundle over a proper toric scheme over a DVR. We provide a combinatorial description of them in terms of piecewise polynomial…