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Grothendieck-Witt groups of quadrics and sums-of-squares formulas
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Xie, Heng (2015) Grothendieck-Witt groups of quadrics and sums-of-squares formulas. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2860674~S1
Abstract
This thesis studies Grothendieck-Witt spectra of quadric hypersurfaces. In particular, we compute Witt groups of quadrics. Besides, by calculating Grothendieck-Witt groups of a deleted quadric over an algebraically closed field of characteristic different from 2, we improve Dugger and Isaksen’s condition (some powers of 2 dividing some binomial coefficients) on an old problem Hurwitz concerning the existence of sums-of-squares formulas.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Forms, Quadratic, Witt group, Algebraic fields, Geometry, Algebraic, Grothendieck groups | ||||
Official Date: | June 2015 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Schlichting, Marco | ||||
Sponsors: | China Scholarship Council (CSC) | ||||
Extent: | v, 84 leaves | ||||
Language: | eng |
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