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arXiv · 1608.00703

Towards a non-archimedean analytic analog of the Bass-Quillen conjecture

Moritz Kerz·Shuji Saito·Georg Tamme
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Abstract

We suggest an analog of the Bass-Quillen conjecture for smooth affinoid algebras over a complete non-archimedean field. We prove this in the rank-1 case, i.e. for the Picard group. For complete discretely valued fields and regular affinoid algebras that admit a regular model (automatic if the residue characteristic is zero) we prove a similar statement for the Grothendieck group of vector bundles.

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Moritz Kerz, Shuji Saito, Georg Tamme. 2016-08-02. Towards a non-archimedean analytic analog of the Bass-Quillen conjecture. https://doi.org/10.1017/s147474801900001x

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