Motives and homotopy theory in logarithmic geometry

This document is a short user’s guide to the theory of motives and homotopy theory in the setting of logarithmic geometry. We review some of the basic ideas and results in relation to other works on motives with modulus, motivic homotopy theory, and reciprocity sheaves.

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Bibliographic Details
Published in:Comptes rendus. Mathématique 2022-01, Vol.360 (G6), p.717-727
Main Authors: Binda, Federico, Park, Doosung, Østvær, Paul Arne
Format: Article
Language:English
Subjects:
Logarithmic geometry
motives
motivic homotopy theory
Citations: Items that this one cites
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Description
Summary:This document is a short user’s guide to the theory of motives and homotopy theory in the setting of logarithmic geometry. We review some of the basic ideas and results in relation to other works on motives with modulus, motivic homotopy theory, and reciprocity sheaves.
ISSN:1778-3569
1631-073X
1778-3569
DOI:10.5802/crmath.340