Equivariant vector bundles, their derived category and K-theory on affine schemes
نویسندگان
چکیده
منابع مشابه
Affine Stratifications and equivariant vector bundles on
of the Dissertation Affine Stratifications and equivariant vector bundles on the moduli of principally polarized abelian varieties by Anant Atyam Doctor of Philosophy in Mathematics Stony Brook University 2014 We explicitly construct a locally closed affine stratification of the coarse moduli space of principally polarized complex abelian four folds A4 and using [32], produce an upper bound for...
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Given a fiber bundle of GKM spaces, π : M → B, we analyze the structure of the equivariant K-ring of M as a module over the equivariant K-ring of B by translating the fiber bundle, π, into a fiber bundle of GKM graphs and constructing, by combinatorial techniques, a basis of this module consisting of K-classes which are invariant under the natural holonomy action on the K-ring of M of the funda...
متن کامل2 Equivariant vector bundles on group completions
We describe the category of equivariant vector bundles on a smooth (partial) group completion of an adjoint simple algebraic group. As a corollary of our description, we prove that every equivariant vector bundle of rank less than or equal to rkG on the canonical (wonderful) completion splits into a direct sum of line bundles.
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ژورنال
عنوان ژورنال: Annals of K-Theory
سال: 2017
ISSN: 2379-1691,2379-1683
DOI: 10.2140/akt.2017.2.235