3 papers
math.AT2026
The invariant cell number property for -rings
Anish Chedalavada, Florian Riedel
For any non-zero -ring , we prove that an -fold direct sum of suspensions of cannot admit an exhaustive filtration by fewer than cells. We do this by sh…
math.AG2025
Affineness and reconstruction in higher Zariski geometry
Anish Chedalavada
We explain how the geometric framework introduced in arXiv:2508.11621 [math.AG] provides a universal property for the 2-rings of perfect complexes on qcqs spectral or Dirac spectra…
math.AG2025
Higher Zariski Geometry
Ko Aoki, Tobias Barthel, Anish Chedalavada +2
We revisit the classical constructions of tensor-triangular geometry in the setting of stably symmetric monoidal idempotent-complete -categories, henceforth referred to as…