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- W3105192864 abstract "Let X be a T-variety, where T is an algebraic torus. We describe a fully faithful functor from the category of T-equivariant vector bundles on X to a certain category of filtered vector bundles on a suitable quotient of X by T. We show that if X is factorial, this functor gives an equivalence of categories. This generalizes Klyachko's description of equivariant vector bundles on toric varieties. We apply our machinery to show that vector bundles of low rank on projective space which are equivariant with respect to special subtori of the maximal torus must split, generalizing a theorem of Kaneyama. Further applications include descriptions of global vector fields on T-varieties, and a study of equivariant deformations of equivariant vector bundles." @default.
- W3105192864 created "2020-11-23" @default.
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- W3105192864 date "2015-04-16" @default.
- W3105192864 modified "2023-10-16" @default.
- W3105192864 title "EQUIVARIANT VECTOR BUNDLES ON T-VARIETIES" @default.
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- W3105192864 doi "https://doi.org/10.1007/s00031-015-9312-2" @default.
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