Connective $K$-theory and Adams operations
نویسندگان
چکیده
We investigate the relations between Grothendieck group of coherent modules an algebraic variety and its Chow cycles modulo rational equivalence. Those are in essence torsion phenomena, which we attempt to control by considering action Adams operations on Brown-Gersten-Quillen spectral sequence related objects, such as connective K_0-theory. provide elementary arguments whenever possible. As applications, compute K_0-theory following objects: (1) reduced norm one elements a central division algebra prime degree; (2) classifying space split special orthogonal odd degree.
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ژورنال
عنوان ژورنال: EMS surveys in mathematical sciences
سال: 2021
ISSN: ['2308-2151', '2308-216X']
DOI: https://doi.org/10.4171/emss/50