Effective motives with and without transfers in characteristic p

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• 作者：Alberto Vezzani¹ ; ^{vezzani@math.univ-paris13.fr}
• 关键词：Motives ; Rigid analytic geometry ; Transfers
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：14 January 2017
• 年：2017
• 卷：306
• 期：Complete
• 页码：852-879
• 全文大小：525 K
• 卷排序：306

文摘

We prove the equivalence between the category RigDMéteff(K,Q) of effective motives of rigid analytic varieties over a perfect complete non-archimedean field K   and the category RigDAFrobéteff(K,Q) which is obtained by localizing the category of motives without transfers RigDAéteff(K,Q) over purely inseparable maps. In particular, we obtain an equivalence between RigDMéteff(K,Q) and RigDAéteff(K,Q) in the characteristic 0 case and an equivalence between DMéteff(K,Q) and DAFrobéteff(K,Q) of motives of algebraic varieties over a perfect field K. We also show a relative and a stable version of the main statement.