Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile
著者
書誌事項
Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile
(Contemporary mathematics, 344)
American Mathematical Society, c2004
- タイトル別名
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Quadratic forms
大学図書館所蔵 全43件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
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  イギリス
  ドイツ
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注記
Includes bibliographical references
内容説明・目次
内容説明
This proceedings volume contains papers presented at the International Conference on the algebraic and arithmetic theory of quadratic forms held in Talca (Chile). The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This volume contains survey and research articles covering the range of connections among these topics. The survey articles bring readers up-to-date on research and open problems in representation theory of integral quadratic forms, the algebraic theory of finite square class fields, and developments in the theory of Witt groups of triangulated categories. The specialized articles present important developments in both the algebraic and arithmetic theory of quadratic forms, as well as connections to geometry and K-theory. The volume is suitable for graduate students and research mathematicians interested in various aspects of the theory of quadratic forms.
目次
The Milnor sequence for $W_q\mathcal{F}(x)$ in characteristic 2 when $\mathcal{F}$ is perfect by R. Aravire and B. Jacob Spinor norm for local skew-Hermitian forms by L. Arenas-Carmona An introduction to triangular Witt groups and a survey of applications by P. Balmer Regularity properties of positive definite integral quadratic forms by W. K. Chan, A. G. Earnest, and B.-K. Oh Effective results on representations of quadratic forms by W. K. Chan and M. I. Icaza Quaternary quadratic forms and Hilbert modular surfaces by W. K. Chan and M. Peters Real semigroups and abstract real spectra. I by M. Dickmann and A. Petrovich The role of characteristic vectors in the neighbour lattice process by M. Gaulter On representation by quadratic $\mathbb{F}_q[x]$-lattices by L. J. Gerstein Diagonal forms of degree $p$ in characteristic $p$ by D. W. Hoffmann Local densities and the representations of an integer by a definite quadratic form by D. G. James Periodicity of Hermitian K-theory and Milnor's K-groups by M. Karoubi Third proof of second gap in dimensions of quadratic forms from $I^n$ by N. A. Karpenko Recent developments on universal forms by M.-H. Kim Special Siegel modular forms and singular series polynomials of quadratic forms by W. Kohnen Quasi-hyperbolicity of totally singular quadratic forms by A. Laghribi Witt kernels of triquadratic extensions by D. B. Leep and T. L. Smith Anti-automorphisms of the second kind by D. W. Lewis Reduction modulo 2 and 3 of Euclidean lattices, II by J. Martinet The elementary type conjecture in quadratic form theory by M. Marshall On Hilbert's theorem about ternary quartics by A. Pfister Representation by integral quadratic forms-A survey by R. Schulze-Pillot Representations by spinor genera of ternary quadratic forms by R. Schulze-Pillot and F. Xu A survey and a complement of fundamental Hermite constants by T. Watanabe.
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