English

An equivalence linking CM-types $A_\infty$ and $D_\infty$

Representation Theory 2025-10-29 v1 Commutative Algebra

Abstract

We show that, for a specific grading, the stable categories of graded maximal Cohen-Macaulay modules over hypersurfaces of type AA_\infty and DD_\infty are equivalent.

Cite

@article{arxiv.2510.24642,
  title  = {An equivalence linking CM-types $A_\infty$ and $D_\infty$},
  author = {Charley Cummings and Sira Gratz and Ellen Kirkman and Janina C. Letz and J. Daisie Rock and Špela Špenko},
  journal= {arXiv preprint arXiv:2510.24642},
  year   = {2025}
}

Comments

9 pages; comments are welcome

R2 v1 2026-07-01T07:09:58.856Z