Skip to main content

Research Repository

Advanced Search

Affine quadrics and the Picard group of the motivic category

Vishik, Alexander

Authors



Abstract

In this article we study the subgroup of the Picard group of Voevodsky's category of geometric motives generated by the reduced motives of affine quadrics. Our main tools here are the functors of Bachmann, but we also provide an alternative method. We show that the group in question can be described in terms of indecomposable direct summands in the motives of projective quadrics. In particular, we describe all the relations among the reduced motives of affine quadrics. We also extend the Criterion of motivic equivalence of projective quadrics.

Journal Article Type Article
Publication Date Aug 1, 2019
Journal Compositio Mathematica
Print ISSN 0010-437X
Electronic ISSN 1570-5846
Publisher Foundation Compositio Mathematica
Peer Reviewed Peer Reviewed
Volume 155
Issue 8
Pages 1500-1520
APA6 Citation Vishik, A. (2019). Affine quadrics and the Picard group of the motivic category. Compositio Mathematica, 155(8), 1500-1520. https://doi.org/10.1112/S0010437X19007401
DOI https://doi.org/10.1112/S0010437X19007401
Publisher URL https://www.cambridge.org/core/journals/compositio-mathematica/article/affine-quadrics-and-the-picard-group-of-the-motivic-category/ADCA7F8CABFFCEB903DA970E72E0FB0D

Files





You might also like



Downloadable Citations

;