English

Orbifold Hirzebruch-Riemann-Roch

Algebraic Geometry 2023-12-20 v1

Abstract

We study the orbifold Hirzebruch-Riemann-Roch (HRR) theorem for quotient Deligne-Mumford stacks, explore its relation with the representation theory of finite groups, and derive a new orbifold HRR formula via an orbifold Mukai pairing.

Keywords

Cite

@article{arxiv.2312.11493,
  title  = {Orbifold Hirzebruch-Riemann-Roch},
  author = {Yuhang Chen},
  journal= {arXiv preprint arXiv:2312.11493},
  year   = {2023}
}

Comments

This paper is part of the author's PhD thesis. arXiv admin note: substantial text overlap with arXiv:2204.09824

R2 v1 2026-06-28T13:55:03.127Z