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Titlebook: Geometric Methods in the Algebraic Theory of Quadratic Forms; Summer School, Lens, Oleg T. Izhboldin,Bruno Kahn,Alexander Vishik,Jean Book

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發(fā)表于 2025-3-21 17:20:07 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Geometric Methods in the Algebraic Theory of Quadratic Forms
副標題Summer School, Lens,
編輯Oleg T. Izhboldin,Bruno Kahn,Alexander Vishik,Jean
視頻videohttp://file.papertrans.cn/384/383560/383560.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Geometric Methods in the Algebraic Theory of Quadratic Forms; Summer School, Lens, Oleg T. Izhboldin,Bruno Kahn,Alexander Vishik,Jean Book
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
關(guān)鍵詞Chow groups; Cohomology; Dimension; Quadratic forms; algebra; motives; unramified cohomology
版次1
doihttps://doi.org/10.1007/b94827
isbn_softcover978-3-540-20728-3
isbn_ebook978-3-540-40990-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2004
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發(fā)表于 2025-3-21 21:32:51 | 只看該作者
Dynamik in Struktur und Kultur,ster’s dissertation. His work investigated the cohomologies of function fields over fields of finite characteristic and contained some original ideas; it was later published. My reservations about giving him this particular problem for his annual paper were due mostly to the fact that Oleg might eas
板凳
發(fā)表于 2025-3-22 04:26:24 | 只看該作者
0075-8434 ut a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties..978-3-540-20728-3978-3-540-40990-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
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發(fā)表于 2025-3-22 07:57:51 | 只看該作者
Geometric Methods in the Algebraic Theory of Quadratic FormsSummer School, Lens,
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Appendix: My Recollections About Oleg Izhboldin,ster’s dissertation. His work investigated the cohomologies of function fields over fields of finite characteristic and contained some original ideas; it was later published. My reservations about giving him this particular problem for his annual paper were due mostly to the fact that Oleg might eas
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