English

The Motivic Segal-Becker Theorem

Algebraic Geometry 2022-01-11 v2

Abstract

The present paper is a continuation of earlier work by Gunnar Carlsson and the first author on a motivic variant of the classical Becker-Gottlieb transfer and an additivity theorem for such a transfer by the present authors. Here, we establish a motivic variant of the classical Segal-Becker theorem relating the classifying space of a 1-dimensional torus with the spectrum defining (algebraic) K-theory.

Keywords

Cite

@article{arxiv.2107.02261,
  title  = {The Motivic Segal-Becker Theorem},
  author = {Roy Joshua and Pablo Pelaez},
  journal= {arXiv preprint arXiv:2107.02261},
  year   = {2022}
}

Comments

To appear in the Annals of K-Theory

R2 v1 2026-06-24T03:54:45.167Z