Motivic spaces with proper support
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 characterist...
Main Author: | |
---|---|
Published: |
University of Liverpool
2017
|
Subjects: | |
Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.722106 |
id |
ndltd-bl.uk-oai-ethos.bl.uk-722106 |
---|---|
record_format |
oai_dc |
spelling |
ndltd-bl.uk-oai-ethos.bl.uk-7221062019-01-29T03:20:29ZMotivic spaces with proper supportAlameddin, A.2017In 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.514University of Liverpoolhttps://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.722106http://livrepository.liverpool.ac.uk/3007868/Electronic Thesis or Dissertation |
collection |
NDLTD |
sources |
NDLTD |
topic |
514 |
spellingShingle |
514 Alameddin, A. Motivic spaces with proper support |
description |
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. |
author |
Alameddin, A. |
author_facet |
Alameddin, A. |
author_sort |
Alameddin, A. |
title |
Motivic spaces with proper support |
title_short |
Motivic spaces with proper support |
title_full |
Motivic spaces with proper support |
title_fullStr |
Motivic spaces with proper support |
title_full_unstemmed |
Motivic spaces with proper support |
title_sort |
motivic spaces with proper support |
publisher |
University of Liverpool |
publishDate |
2017 |
url |
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.722106 |
work_keys_str_mv |
AT alameddina motivicspaceswithpropersupport |
_version_ |
1718968828437725184 |