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  Witt groups of smooth projective quadrics

Xie, H. (2019). Witt groups of smooth projective quadrics. Advances in Mathematics, 346, 70-123. doi:10.1016/j.aim.2019.01.038.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-84FD-A Version Permalink: https://hdl.handle.net/21.11116/0000-0007-ABC7-8
Genre: Journal Article

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MPIM Preprint series 2019-2.pdf (Preprint), 578KB
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https://doi.org/10.1016/j.aim.2019.01.038 (Publisher version)
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 Creators:
Xie, Heng1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: Let k be a commutative ring containing 1/2 . In this paper, we construct exact sequences connecting Witt groups of smooth projective quadrics over k and Clifford algebras. The exact sequences have an application to a classical problem in quadratic form theory: the Witt kernel of function fields of quadrics. We also apply the exact sequences to compute Witt groups of certain kinds of smooth projective quadrics.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 55
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1016/j.aim.2019.01.038
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Title: Advances in Mathematics
  Abbreviation : Adv. Math.
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 346 Sequence Number: - Start / End Page: 70 - 123 Identifier: -