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arXiv · 1706.09983

Motivic Measures through Waldhausen K-Theories

Anwar Alameddin
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Abstract

In this paper we introduce the notion of a $cdp$-functor to a Waldhausen category. We show that such functors admit extensions that satisfy the excision property, to which we associate Euler-Poincaré characteristics that send the class of a proper scheme to the class of its image. As an application, we show that the Yoneda embedding gives rise to a monoidal proper-fibred Waldhausen category over Noetherian schemes of finite Krull dimensions, with canonical $cdp$-functors to its fibres.

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Anwar Alameddin. 2017-06-30. Motivic Measures through Waldhausen K-Theories. https://arxiv.org/abs/1706.09983

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