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arXiv · 2112.02272

Seminar on Quillen's proof of the Quillen-Suslin theorem

Warren Dicks
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Abstract

Revised 1977 seminar handout on Quillen's proof of the 1976 Quillen-Suslin theorem -- that all finitely generated, projective $k[x_1,\ldots,x_n]$-modules are free. This particular write-up is based on arguments of Quillen, Paul Roberts, Vaserstein, and Moshe Roitman -- arguments that are here translated into the language of idempotent matrices, which seems rather natural.

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Warren Dicks. 2021-12-04. Seminar on Quillen's proof of the Quillen-Suslin theorem. https://arxiv.org/abs/2112.02272

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