English

Hochschild homology for log schemes

Algebraic Geometry 2026-05-27 v2

Abstract

We extend the notions of Hochschild and cyclic homology to morphisms from algebraic spaces to algebraic stacks. Using this, we obtain generalizations to log schemes in the sense of Fontaine and Illusie of these homology theories.

Keywords

Cite

@article{arxiv.2406.08629,
  title  = {Hochschild homology for log schemes},
  author = {Martin Olsson},
  journal= {arXiv preprint arXiv:2406.08629},
  year   = {2026}
}