Witt groups of smooth projective quadrics

Xie, Heng

doi:10.1016/j.aim.2019.01.038

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Witt groups of smooth projective quadrics

MPS-Authors

/persons/resource/persons236463

Xie, Heng
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1016/j.aim.2019.01.038
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

MPIM Preprint series 2019-2.pdf
(Preprint), 578KB

Supplementary Material (public)

There is no public supplementary material available

Citation

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

Cite as: https://hdl.handle.net/21.11116/0000-0004-84FD-A

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.