| 书目名称 | Geometric Methods in the Algebraic Theory of Quadratic Forms | | 副标题 | Summer School, Lens, | | 编辑 | Oleg T. Izhboldin,Bruno Kahn,Alexander Vishik,Jean | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960‘s. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields with u-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.. | | 出版日期 | Book 2004 | | 关键词 | Chow groups; Cohomology; Dimension; Quadratic forms; algebra; motives; unramified cohomology | | 版次 | 1 | | doi | https://doi.org/10.1007/b94827 | | isbn_softcover | 978-3-540-20728-3 | | isbn_ebook | 978-3-540-40990-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2004 |
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发表于 2025-3-21 17:20:07
