English

Computing weighted sheaf cohomology using noncommutative differential modules

Algebraic Geometry 2025-11-06 v2 Commutative Algebra

Abstract

We describe a novel method for computing sheaf cohomology over weighted projective spaces and stacks using exterior algebra and differential module techniques, generalizing an algorithm due to Eisenbud-Fl\o ystad-Schreyer over projective space.

Keywords

Cite

@article{arxiv.2510.02131,
  title  = {Computing weighted sheaf cohomology using noncommutative differential modules},
  author = {Michael K. Brown and Daniel Erman},
  journal= {arXiv preprint arXiv:2510.02131},
  year   = {2025}
}

Comments

17 pages. Significant revision, includes new algorithms for weighted projective spaces

R2 v1 2026-07-01T06:13:29.400Z