Motivic Spaces with Proper Support



Alameddin, A
(2017) Motivic Spaces with Proper Support. Doctor of Philosophy thesis, University of Liverpool.

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Abstract

In this thesis we introduce the notion of a cdp-functor on the category of proper schemes over a Noetherian base, and we show that cdp-functors to Waldhausen categories extend to factors that satisfy the excision property. This allows us to associate with a cdp-functor an Euler-Poincaré characteristic that sends the class of a proper scheme to the class of its image. Applying this construction to the Yoneda embedding yields a monoidal proper-fibred Waldhausen category over Noetherian schemes, with canonical cdp-functors to its fibres. Also, we deduce a motivic measure to the Grothendieck ring of finitely presented simplicially stable motivic spaces with the cdh-topology.

Item Type: Thesis (Doctor of Philosophy)
Divisions: Fac of Science & Engineering > School of Mathematics
Depositing User: Symplectic Admin
Date Deposited: 17 Aug 2017 08:17
Last Modified: 09 Jan 2021 14:36
DOI: 10.17638/03007868
Supervisors:
  • Guletskii, V
URI: https://livrepository.liverpool.ac.uk/id/eprint/3007868