K?theory of regular compactification bundles
نویسندگان
چکیده
Let G be a split connected reductive algebraic group. E ? B $\mathcal {E}\longrightarrow \mathcal {B}$ × $G\times G$ -torsor over smooth base scheme and X regular compactification of G. We describe the Grothendieck ring associated fibre bundle ( ) : = {E}(X):=\mathcal {E}\times _{G\times G} X$ , as an algebra canonical toric flag . These are relative versions corresponding results on in case when is point, generalize classical rings projective bundles, bundles bundles.
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2022
ISSN: ['1522-2616', '0025-584X']
DOI: https://doi.org/10.1002/mana.201900323