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We perform Hochschild homology calculations in the algebro-geometric setting of motives over algebraically closed fields. The homotopy ring of motivic Hochschild homology contains torsion classes that arise from the mod-p motivic Steenrod algebra and generating functions defined on the natural numbers with finite non-empty support. Under Betti realization, we recover Bökstedt’s calculation of the topological Hochschild homology of finite prime fields.more » « less
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Dugger, Daniel; Dundas, Bjørn Ian; Isaksen, Daniel C; Østvær, Paul Arne (, Algebraic & Geometric Topology)
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Asok, Aravind; Østvær, Paul-Arne (, Springer Lecture Notes in Mathematics)Neumann, Frank; Pál, Ambrus (Ed.)We survey some topics in A1-homotopy theory. Our main goal is to highlight the interplay between A1-homotopy theory and affine algebraic geometry, focusing on the varieties that are “contractible” from various standpoints.more » « less
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Heller, Jeremiah; Ravi, Charanya; Østvær, Paul Arne (, Journal of Algebra)
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