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PreprintCC BY 4.0arXiv

Gluing weak approximability along recollements

Abstract

We study whether weak approximability glues along recollements of triangulated categories that are compactly generated by a single object. This is applied to derived categories of complexes with quasi-coherent cohomology and prescribed support for quasi-compact quasi-separated algebraic spaces.

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BibTeX
@misc{lank2026gluing,
  title = {{Gluing weak approximability along recollements}},
  author = {Pat Lank},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22161},
  eprint = {2610.22161},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22161},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gluing weak approximability along recollements
AU  - Pat Lank
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22161
UR  - https://arxiv.org/abs/2610.22161
AB  - We study whether weak approximability glues along recollements of triangulated categories that are compactly generated by a single object. This is applied to derived categories of complexes with quasi-coherent cohomology and prescribed support for quasi-compact quasi-separated algebraic spaces.
ER  -