English

A Lefschetz-Riemann-Roch theorem for singular schemes

Algebraic Geometry 2025-12-16 v1

Abstract

In this paper, we prove a Lefschetz-Riemann-Roch theorem for singular projective schemes which admit diagonalisable group scheme actions, this result generalizes P. Baum, W. Fulton and G. Quart's Lefschetz-Riemann-Roch theorem for singular varieties (cf. \cite{BFQ}) to general scheme case.

Keywords

Cite

@article{arxiv.2512.12587,
  title  = {A Lefschetz-Riemann-Roch theorem for singular schemes},
  author = {Runqiao Fu and Shun Tang},
  journal= {arXiv preprint arXiv:2512.12587},
  year   = {2025}
}

Comments

20 pages

R2 v1 2026-07-01T08:23:51.642Z