Publication: Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety
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Ayoub, J., & Zucker, S. (2012). Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Inventiones Mathematicae, 188, 277–427. https://doi.org/10.1007/s00222-011-0349-0
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We introduce the notion of Artin motives and cohomological motives over a scheme X. Given a cohomological motive M over X, we consider the universal Artin motive mapping to M and denote it ω0X(M). We use this to define a motive.
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Ayoub, J., & Zucker, S. (2012). Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety. Inventiones Mathematicae, 188, 277–427. https://doi.org/10.1007/s00222-011-0349-0