Motives of Log Schemes

dc.contributor.advisor	Vologodsky, Vadim
dc.contributor.author	Howell, Nicholas
dc.date.accessioned	2017-09-06T21:53:58Z
dc.date.available	2017-09-06T21:53:58Z
dc.date.issued	2017-09-06
dc.description.abstract	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.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/22740
dc.language.iso	en_US
dc.publisher	University of Oregon
dc.rights	All Rights Reserved.
dc.subject	Albanese	en_US
dc.subject	degeneration	en_US
dc.subject	limit Hodge structure	en_US
dc.subject	log geometry	en_US
dc.subject	motive	en_US
dc.title	Motives of Log Schemes
dc.type	Electronic Thesis or Dissertation
thesis.degree.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

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