Work

Étale motives of geometric origin

Year: 2025

Type: article

Abstract: Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work. We also show that they afford the continuity property and satisfy h‐descent and Milnor excision.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70085

Authors: Raphaël Ruimy, Swann Tubach

Institutions: University of Milan, Unité de Mathématiques Pures et Appliquées

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Agence Nationale de la Recherche