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001			EBC3113259
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006			m o d |
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008			240724s2004 xx o ||||0 eng d
020			_a9780821879344 _q(electronic bk.)
020			_z9780821834411
035			_a(MiAaPQ)EBC3113259
035			_a(Au-PeEL)EBL3113259
035			_a(CaPaEBR)ebr10878714
035			_a(OCoLC)922980877
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA243 -- .I57 2002eb
082	0		_a512.7/4
100	1		_aBaeza, Ricardo.
245	1	0	_aAlgebraic and Arithmetic Theory of Quadratic Forms.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2004.
264		4	_c©2004.
300			_a1 online resource (364 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics ; _vv.344
505	0		_aIntro -- Contents -- Preface -- Conference participants -- The Milnor sequence for WqF(x) in characteristic 2 when F is perfect -- Spinor norm for local skew-Hermitian forms -- An introduction to triangular Witt groups and a survey of applications -- Regularity properties of positive definite integral quadratic forms -- Effective results on representations of quadratic forms -- Quaternary quadratic forms and Hilbert modular surfaces -- Real semigroups and abstract real spectra. I -- The role of characteristic vectors in the neighbour lattice process -- On representation by quadratic Fq[x]-lattices -- Diagonal forms of degree p in characteristic p -- 1. Introduction -- 2. Basic results -- 3. A representation theorem à la Cassels-Pfister -- 4. The norm field, the norm degree, and quasi-Pfister forms -- 5. Behaviour of p-forms under algebraic field extensions -- 6. Similarity factors of p-forms and a "norm theorem" à la Knebusch -- 7. The behaviour of p-forms under function field extensions of p-forms -- 7.1 The definition of the function field of a p-form -- 7.2 The algebraic closure of the base field inside the function field of a p-form -- 7.3 p-splitting of a p-form over the function field of a p-form -- 7.4 Isotropy of p-forms over function fields of p-forms -- 7.5 Some remarks on height and splitting patterns of p-forms -- 7.6 Some applications to quasi-Pfister neighbors -- 8. The behaviour of differential forms under function field extensions of p-forms -- Local densities and the representations of an integer by a definite quadratic form -- Periodicity of Hermitian K-theory and Milnors K-groups -- Third proof of second gap in dimensions of quadratic forms from In -- Recent developments on universal forms -- Special Siegel modular forms and singular series polynomials of quadratic forms.
505	8		_aQuasi-hyperbolicity of totally singular quadratic forms -- Witt kernels of triquadratic extensions -- Anti-automorphisms of the second kind -- Reduction modulo 2 and 3 of Euclidean lattices, II -- The elementary type conjecture in quadratic form theory -- 1. Quadratic form schemes -- 2. Quaternionic mappings and Witt rings -- 3. Elementary constructions -- 4. Uniqueness results and counting -- 5. The reduced case -- 6. The case of small value sets -- 7. The case of few quaternion algebras -- 8. Quotients -- 9. Morphisms and field extensions -- 10. Connections to Galois theory -- On Hilbert's theorem about ternary quartics -- Representation by integral quadratic forms-a survey -- Representations by spinor genera of ternary quadratic forms -- A survey and a complement of fundamental Hermite constants.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aForms, Quadratic -- Congresses.
655		4	_aElectronic books.
700	1		_aHsia, John S.
700	1		_aJacob, Bill.
700	1		_aPrestel, Alexander.
776	0	8	_iPrint version: _aBaeza, Ricardo _tAlgebraic and Arithmetic Theory of Quadratic Forms _dProvidence : American Mathematical Society,c2004 _z9780821834411
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113259 _zClick to View
999			_c68793 _d68793