Article ID Journal Published Year Pages File Type
6425272 Advances in Mathematics 2016 58 Pages PDF
Abstract
We construct a motivic analogue of the weightless cohomology groups [18] and demonstrate several expected properties - ring structure, Kunneth, functoriality for certain morphisms etc. We also demonstrate the expected relationship with the motivic intersection complex of Wildeshaus [26], [25] (whenever it exists). The methods also give another construction of the weightless cohomology groups over any base field. In characteristic 0, this motive coincides with the motive EX of Ayoub-Zucker [3] and recovers the motivic construction of the reductive Borel-Serre compactification of Shimura varieties.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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