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PreprintarXiv licencearXiv

Algebraic ๐”ธ1-invariance of K-theory for affinoid Tate adic spaces of good reduction

  • Hyungseop Kim
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Abstract

We establish homotopy invariance for connective continuous K-theory of affinoid Tate adic spaces of good reduction with respect to the algebraic affine line, distinct from the adic affine line as analytic stacks. We approach this through an investigation of boundedness of t-structures on nuclear module categories, to which end we also study ultrasolid modules, a variant of solid modules, and their properties.

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Cite

BibTeXRIS
BibTeX
@misc{kim2026algebraic,
  title = {{Algebraic $\mathbbA^1$-invariance of K-theory for affinoid Tate adic spaces of good reduction}},
  author = {Hyungseop Kim},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05111},
  eprint = {2611.05111},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05111},
}
RIS
TY  - UNPB
TI  - Algebraic ๐”ธ^1-invariance of K-theory for affinoid Tate adic spaces of good reduction
AU  - Hyungseop Kim
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05111
UR  - https://arxiv.org/abs/2611.05111
AB  - We establish homotopy invariance for connective continuous K-theory of affinoid Tate adic spaces of good reduction with respect to the algebraic affine line, distinct from the adic affine line as analytic stacks. We approach this through an investigation of boundedness of t-structures on nuclear module categories, to which end we also study ultrasolid modules, a variant of solid modules, and their properties.
ER  -