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.
| Identifer | oai:union.ndltd.org:uoregon.edu/oai:scholarsbank.uoregon.edu:1794/22740 |
| Date | 06 September 2017 |
| Creators | Howell, Nicholas |
| Contributors | Vologodsky, Vadim |
| Publisher | University of Oregon |
| Source Sets | University of Oregon |
| Language | en_US |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Rights | All Rights Reserved. |
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