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Motives of Log Schemes

This thesis introduces two notions of motive associated to a log

scheme. We introduce a category of log motives à la Voevodsky,

and prove that the embedding of Voevodsky motives is an equivalence, in

particular proving that any homotopy-invariant cohomology theory of

schemes extends uniquely to log schemes. In the case of a log smooth

degeneration, we give an explicit construction of the motivic Albanese

of the degeneration, and show that the Hodge realization of this

construction gives the Albanese of the limit Hodge structure.

Identiferoai:union.ndltd.org:uoregon.edu/oai:scholarsbank.uoregon.edu:1794/22740
Date06 September 2017
CreatorsHowell, Nicholas
ContributorsVologodsky, Vadim
PublisherUniversity of Oregon
Source SetsUniversity of Oregon
Languageen_US
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
RightsAll Rights Reserved.

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