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arXiv · 2109.07065

From Six Functors Formalisms to Derived Motivic Measures

Joshua Lieber
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Abstract

In this paper, we generally describe a method of taking an abstract six functors formalism in the sense of Khan or Cisinski-D\'{e}glise, and outputting a derived motivic measure in the sense of Campbell-Wolfson-Zakharevich. In particular, we use this framework to define a lifting of the Gillet-Sou\'e motivic measure.

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Joshua Lieber. 2021-09-15. From Six Functors Formalisms to Derived Motivic Measures. https://arxiv.org/abs/2109.07065

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