20 citations · 137 across the 31 of their papers we have counts for
39 papers
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…
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 Chern Classes of Toric Vector Bundles over a DVR and Bruhat--Tits Buildings
Ana María 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…
Algebra and Geometry of Irreducible toric vector bundles of rank on
Courtney George, Christopher Manon
We construct a presentation for the Cox ring of the projectivization of any rank irreducible toric vector bundle on . We use this presenta…
Positivity properties of divisors on Toric Vector Bundles
Courtney George, Christopher Manon
We use presentations of the Cox rings of projectivized toric vector bundles and elements of matroid theory to compute Newton-Okounkov bodies, effective cones, and nef cones of thes…
Toric vector bundles, valuations and tropical geometry
Kiumars Kaveh, Christopher Manon
A toric vector bundle is a torus equivariant vector bundle on a toric variety. We give a valuation theoretic and tropical point of view on toric vector bundles. We pr…