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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https://doi.org/10.1007/978-3-8350-5579-7Our main goal is to give proofs of all results announced by Oleg Izhboldin in [13]. In particular, we establish Izhboldin’s criterion for stable equivalence of 9-dimensional forms. Several other related results, some of them due to the author, are also included.

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,Izhboldin’s Results on Stably Birational Equivalence of Quadrics,Our main goal is to give proofs of all results announced by Oleg Izhboldin in [13]. In particular, we establish Izhboldin’s criterion for stable equivalence of 9-dimensional forms. Several other related results, some of them due to the author, are also included.

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https://doi.org/10.1007/b94827Chow groups; Cohomology; Dimension; Quadratic forms; algebra; motives; unramified cohomology

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https://doi.org/10.1007/978-3-663-16284-1June 26-28, 2000. However, some extra material is added. I tried to make the material more accessible for the reader. So, complicated technical proofs are presented in a separate section. Applications are discussed in the last two sections. In particular, splitting patterns of quadratic forms of odd

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Dynamik in Struktur und Kultur,ear as he did each year that he competed. Upon entering the university, after some hesitation, Oleg decided to study algebra (if I am not mistaken he was also invited to study mathematical analysis). He began to work in an area that was very fashionable at that time: algebraic K-theory of fields. Wh

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