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The Chow-Witt group of a scheme with residual complex
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Plowman, James (2019) The Chow-Witt group of a scheme with residual complex. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3494934~S15
Abstract
We give an explicit description of the boundary maps appearing in the Witt complexes of [1, 2]; providing an affirmative answer to the question posed by Balmer & Walter [1] as to whether or not their Witt complex agrees with that appearing in unpublished work [3] by Pardon. Our description of these boundary maps is made in terms of a generalisation of the classical second residue homomorphisms for Witt groups found in [4] - unlike the constructions of [1, 2] which are based on Balmer’s triangular Witt groups [5], our definition of generalised second residue homormophisms does not require any assumption on the charcteristic nor any derived machinery.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Algebraic varieties, Witt group | ||||
Official Date: | December 2019 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Schlichting, Marco | ||||
Format of File: | |||||
Extent: | ii, 111 leaves : illustrations | ||||
Language: | eng |
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