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arxiv: 1402.5520 · v1 · pith:MO4UMSMJnew · submitted 2014-02-22 · 🧮 math.AG

Motivic decomposition of compactifications of certain group varieties

classification 🧮 math.AG
keywords certaincompactificationsdecompositionmotivicalgebracentralchowcomplete
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Let D be a central simple algebra of prime degree over a field and let E be an SL_1(D)-torsor. We determine the complete motivic decomposition of certain compactifications of E. We also compute the Chow ring of E.

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