Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682846
Title: Grothendieck-Witt groups of quadrics and sums-of-squares formulas
Author: Xie, Heng
ISNI:       0000 0004 5914 9993
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2015
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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.
Supervisor: Not available Sponsor: China Scholarship Council (CSC)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.682846  DOI: Not available
Keywords: QA Mathematics
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