Alameddin, A
(2017)
Motivic Spaces with Proper Support.
Doctor of Philosophy thesis, University of Liverpool.
![]() |
Text
200692643_Jun2017.pdf - Unspecified Download (2MB) |
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: | Faculty of Science and Engineering > School of Physical Sciences |
Depositing User: | Symplectic Admin |
Date Deposited: | 17 Aug 2017 08:17 |
Last Modified: | 19 Jan 2023 07:03 |
DOI: | 10.17638/03007868 |
Supervisors: |
|
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3007868 |