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Motivic homological stability for configuration spaces of the line
Author(s) -
Horel Geoffroy
Publication year - 2016
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdw032
Subject(s) - affine transformation , mathematics , lift (data mining) , pure mathematics , stability (learning theory) , line (geometry) , plane (geometry) , algebra over a field , geometry , computer science , machine learning , data mining
We lift the classical theorem of Arnol'd on homological stability for configuration spaces of the plane to the motivic world. More precisely, we prove that the schemes of unordered configurations of points in the affine line satisfy stability with respect to the motivic t ‐structure on mixed Tate motives.