Geometrical symmetric powers in the motivic homotopy category |
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Authors: | Joe Palacios |
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Affiliation: | Instituto de Matemática y Ciencias Afines, 245 Calle Los Biólogos, 15024 Lima, Peru |
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Abstract: | Symmetric powers of quasi-projective schemes can be extended via Kan extensions to geometrical symmetric powers of motivic spaces. In this work, we study geometrical symmetric powers and compare them with various symmetric powers in the unstable and stable -homotopy category of schemes over a field. |
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Keywords: | 14F42 18D10 18G55 14A99 18F10 Geometrical symmetric powers Nisnevich sheaves Admissible categories |
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