Some Remarks on Units in Grothendieck-Witt Rings
classification
🧮 math.KT
math.AG
keywords
grothendieck-wittringsa1-homotopyalgebraicargumentsconstructionsestablisheven
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We establish new structures on Grothendieck-Witt rings, including a GW(k)-module structure on the unit group GW(k)^x and a presentation of \ul{GW}^x as an infinite Gm-loop sheaf. Even though our constructions are motivated by speculations in stable A1-homotopy theory, our arguments are purely algebraic.
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