English

Simple criteria for higher rational singularities

Algebraic Geometry 2025-07-22 v2

Abstract

This work establishes simple criteria for detecting higher rational singularities via the intersection Du Bois complex and the irrationality complex of a normal variety over the complex numbers.

Keywords

Cite

@article{arxiv.2507.07351,
  title  = {Simple criteria for higher rational singularities},
  author = {Sándor Kovács and Pat Lank and Sridhar Venkatesh},
  journal= {arXiv preprint arXiv:2507.07351},
  year   = {2025}
}

Comments

Current: 9 pages; added a reference to Duc Vo's thesis, other minor changes. Previous: 8 pages, comments welcome!

R2 v1 2026-07-01T03:54:05.386Z